MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Transcription

1 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Answer: No Correct Answer Was Provided. Provide an appropriate response. ) If a relation eists between and, then we sa that or that, and we write. A) depends on; corresponds to B) corresponds to; corresponds to C) corresponds to; depends on D) depends on; depends on 3) Use the map to represent the relation as a set of ordered pairs. Bob Ann Dave Ms. Lee Mr. Bar A) {(Bob, Mr. Bar), (Ann, Ms. Lee), (Dave, Ms. Lee)} B) {(Mr. Bar, Bob), (Ms. Lee, Ann), (Ms. Lee, Dave)} C) {(Ms. Lee, Bob), (Mr. Bar, Ann), (Mr. Bar, Dave)} D) {(Bob, Ms. Lee), (Ann, Mr. Bar), (Dave, Mr. Bar)} SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. ) Use the set of ordered pairs to represent the relation as a map. {(, 1), (, ), (11, 33), (1, )} Answer: MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Identif the domain and range of the relation. ) A) domain:{,, 1, 1} range: {,,, 7} B) domain: {,,, 7} range: {,, 1, 1} 1

2 ) Alice Brad Carl cat dog A) domain: {cat, dog} range: {Alice, Brad, Carl} 7) {(-, -), (0, ), (, 0), (7, -)} A) domain: {-, 0,, 7} range: {-,, 0, -} ) {(-3, 1), (-, 7), (0, 3), (, 7), (, 19)} A) domain: {-3, -, 0,, } range: {1, 7, 3, 19} B) domain: {Alice, Brad, Carl} range: {cat, dog} B) domain: {-,, 0, -} range: {-, 0,, 7} B) domain: {1, 7, 3, 19} range: {-3, -, 0,, } Identif the domain and the range of the relation from the graph. 9) - - A) Domain: (-, 0) Range [-, ) B) Domain: (-, 0); Range: [0, ) C) Domain: (-, ) Range: [0, ) D) Domain: (-, ) Range: (-, )

3 ) A) Domain: [-, ) Range: (-, ) B) Domain: [, ) Range: (-, ) C) Domain: (-, ) Range: [-, ) D) Domain: (-, ) Range: [, ) 11) A) Domain: [-3, ) Range: [, ) B) Domain: (-, ] Range: (-, -] C) Domain: [-3, ] Range: [-, ] D) Domain: [-, ] Range: [-3, ] 1) A) Domain: [0, ) Range: (-, ) B) Domain: (-, ) Range: (-, ) C) Domain: (-, ) Range: [-, ) D) Domain: [-, ) Range: (-, ) 3

4 Use the graph of the relation to identif the domain and range. 13) = A) domain: (7, ) range: (-, ) B) domain: (-, ) range: (-, ) C) domain: (-, ) range: (7, ) D) domain: (7, ) range: (7, ) 1) = A) domain: (-, ) range: -, B) domain: (-, 0) range: (-, ) C) domain: - 1 9, range: (-, ) D) domain: (-, ) range: (-, )

5 1) = A) domain: (-, ) range: (3, ) B) domain: (-, ) range: (-, ) C) domain: (3, ) range: (-, ) D) domain: (-3, ) range: (-, ) 1) = A) domain: (, ) range: (-, ) B) domain: (-, ) range: (-, ) C) domain: [, ) range: (-, ) D) domain: (-, ) range: -,

6 17) + = A) domain: - 1, range: (-, ) B) domain: (-, ) range: - 1, C) domain: 1, range: (-, ) D) domain: (-, ) range: (-, ) 1) = A) domain: (-, ) range: (-, ) B) domain: (-, ) range: (, ) C) domain: (-, ) range: [, ) D) domain: (-, ) range: [-, ]

7 19) = A) domain: (-, ) range: (-, ) B) domain: (-, ) range: [-, ) C) domain: (-, ) range: (-, ) D) domain: (-, ) range: (-, ) 0) = A) domain: (-, ) range: [-, ) B) domain: [-, ) range: (-, ) C) domain: (-, ) range: (-, ) D) domain: (-, ) range: [0, ) 7

8 1) = A) domain: (-, ) range: (, ) B) domain: (-, ) range: (-, ) C) domain: (-, ) range: (-, ) D) domain: (, ) range: (-, ) ) = A) domain: [-1, 1] range: (-, ) B) domain: (-, ) range: (-, ) C) domain: (-, ) range: [-1, ) D) domain: [-1, ) range: (-, )

9 Solve. 3) An arrow is fired into the air with an initial velocit of 9 feet per second. The height in feet of the arrow t seconds after it was shot into the air is given b the function h(t) = -1t + 9t. Find the domain and the range of the relation A) Domain: [0, 9]; Range: [0, ] B) Domain: [0, ]; Range: [0, 1] C) Domain: [0, ]; Range: [0, 9] D) Domain: [0, ]; Range: [0, 0] Determine whether the relation represents a function. If it is a function, state the domain and range. ) A) function domain: {, 7, 9, 11} range: {, 1, 1, } B) function domain:{, 1, 1, } range: {, 7, 9, 11} C) not a function ) Alice Brad Carl snake cat dog A) function domain: {snake, cat, dog} range: {Alice, Brad, Carl} B) function domain: {Alice, Brad, Carl} range: {snake, cat, dog} C) not a function 9

10 ) Alice Brad Carl cat dog A) function domain: {cat, dog} range: {Alice, Brad, Carl} 7) {(-1, 7), (1, ), (, -), (, -1)} A) function domain: {7,, -, -1} range: {-1, 1,, } ) {(9, -3), (, -), (, 0), (, ), (0, )} A) function domain: {-3, -, 0,, } range: {9,,, 0} 9) {(-, 19), (-3, 1), (0, 3), (3, 1), (, )} A) function domain: {-, -3, 0, 3, } range: {19, 1, 3, } B) function domain: {Alice, Brad, Carl} range: {cat, dog} B) function domain: {-1, 1,, } range: {7,, -, -1} B) function domain: {9,,, 0} range: {-3, -, 0,, } B) function domain: {19, 1, 3, } range: {-, -3, 0, 3, } C) not a function C) not a function C) not a function C) not a function Determine whether the equation is a function. 30) = 3 A) function B) not a function 31) = 9 - A) function B) not a function 3) = A) function B) not a function 33) + = 9 A) function B) not a function 3) = A) function B) not a function

11 3) + = 1 A) function B) not a function 3) - 3 = A) function B) not a function Determine whether the graph is that of a function. 37) A) function B) not a function 3) - - A) function B) not a function 11

12 39) A) function B) not a function 0) A) function B) not a function 1) - - A) function B) not a function 1

13 Find the function value. ) Find f(1) when f() = A) -19 B) 19 C) 17 D) ) Find f(-) when f() = A) -17 B) - C) 0 D) 3 ) Find f(-) when f() = A) -3 + B) 3 + C) - - D) 3 - ) Find -f() when f() = A) B) C) -3-1 D) 3-1 ) Find f( - 3) when f() = +. A) + 3 B) + 9 C) - 1 D) - 9 7) Find f(-) when f() = 3 -. A) -1 - B) 1 - C) 1 + D) ) Find f(3) when f() = A) B) - C) 1 D) 0 9) Find f(0) when f() = - +. A) 0 B) C) - D) 1 0) Find f(-) when f() = 7-3. A) 11 B) 3 C) D) -1 1) Find f(-9) when f() = -. A) -1 B) 3 C) 1 D) -3 ) Find f( + h) when f() = A) -3-3h - - h - B) -3-3h - 3h - - h - C) -3-3h - - h - D) -3 - h - 3h - - h - 13

14 + 3) f() = 1 - ; f(3) A) B) 11 C) 11 0 D) 11 3 ) f() = ; f(-) A) -1 B) 1 C) -1 D) 1 ) f() = ; f() A) - B) 1 C) - 1 D) Find the domain of the function. ) h() = - A) { > 0} B) { is an real number} C) { } D) { 0} 7) f() = A) 3 B) { } C) { -} D) -, 3 ) s(t) = t + 1 A) {t t is an real number} B) {t t > -1} C) {t t -1} D) {t t -1} z 9) F(z) = z + A) {z z > -} B) {z z 0} C) {z z is an real number} D) {z z -} 0) f() = A) 0, 7 B) - 7, 0 C) 7 D) - 7 1

15 1) H(q) = q - A) {q q -} B) q q C) {q q } D) {q q is an real number} Solve the problem. ) If f() = C and f(3) = 1, what is the value of C? A) C = 9 B) C = 130 C) C = -0 D) C = -1 3) If f() = - A and f(-) = 1, what is the value of A? - + A) A = 91 B) A = -31 C) A = -91 D) A = 31 ) The cost C, in dollars, to produce graphing calculators is given b the function C() = + 300, where is the number of calculators produced. How man calculators can be produced if the cost is limited to $119,000? A) 7 calculators B) 1900 calculators C) 30 calculators D) 0 calculators ) The cost C, in dollars, to produce graphing calculators is given b the function C() = , where is the number of calculators produced. What is the cost to produce 00 calculators? A) $0,000 B) $3,00 C) $3,0 D) $,00 ) A projectile is fired from a cliff 00 feet above the water at an inclination of to the horizontal, with a muzzle velocit of 30 feet per second. The height h of the projectile above the water is given b h() = -3 (30) , where is the horizontal distance of the projectile from the base of the cliff. Find the maimum height of the projectile. A) 913. ft B) ft C) 13. ft D). ft 7) A projectile is fired from a cliff 00 feet above the water at an inclination of to the horizontal, with a muzzle velocit of 70 feet per second. The height h of the projectile above the water is given b h() = -3 (70) , where is the horizontal distance of the projectile from the base of the cliff. How far from the base of the cliff is the height of the projectile a maimum? A) 9.3 ft B) ft C) 0.9 ft D) 9.3 ft 1

16 ) The volume V of a square-based pramid with base sides s and height h is V = 1 3 s h. If the height is half of the length of a base side, epress the volume V as a function of s. A) V(s) = 1 3 s B) V(s) = 1 s3 C) V(s) = 1 3 s3 h D) V(s) = 1 s3 h Graph the function. 9) f() = A) B) C) D)

17 70) f() = A) B) C) D)

18 71) g() = A) B) C) D)

19 7) g() = A) B) C) D)

20 73) h() = A) B) C) D)

21 7) G() = A) B) C) D)

22 7) F() = A) B) C) D)

23 Find the domain, the range, and an intercepts. 7) A) domain: (-, ); range: (-, ); intercepts: (0, 3), (3, 0) B) domain: (-, ); range: (-, ); intercept: (0, 3) C) domain: (-, ); range: (-, ); intercept: (3, 0) D) domain: (3, ); range: (3, ); intercepts: (0, 3), (3, 0) 77) A) domain: (1, ); range: (-1, ); intercepts: (0, 1), (-1, 0) B) domain: (-, ); range: (-, ); intercept: (-1, 0) C) domain: (-, ); range: (-, ); intercepts: (0, 1), (-1, 0) D) domain: (-, ); range: (-, ); intercept: (0, 1) 3

24 7) A) domain: (-, 9]; range: (-, ); intercepts: (0, ), (-, 0), (, 0) B) domain: (-, ); range: (-, 9); intercepts: (0, ), (-, 0), (, 0) C) domain: (-, ); range: (-, 9]; intercepts: (, 0), (0, -), (0, ) D) domain: (-, ); range: (-, 9]; intercepts: (0, ), (-, 0), (, 0) 79) A) domain: (-, ); range: [-9, ); intercepts: (-, 0), (0, -), (0, ) B) domain: [-9, ); range: (-, ); intercepts: (0, -), (-, 0), (, 0) C) domain: (-, ); range: (-9, ); intercepts: (0, -), (-, 0), (, 0) D) domain: (-, ); range: [-9, ); intercepts: (0, -), (-, 0), (, 0)

25 0) A) domain: [0, ); range: (-, ); intercept: (3, 0) B) domain: [0, ); range: [0, ); intercept: (0, 3) C) domain: [0, ); range: [3, ); intercept: (0, 3) D) domain: (-, ); range: [3, ); intercept: (0, 3) 1) A) domain: (-, ); range: [-, ]; intercept: (0, -) B) domain: (-, ); range: [-, ]; intercepts: (0, -), (-, 0), (, 0) C) domain: (-, ); range: [-, ); intercepts: (0, -), (-, 0), (, 0) D) domain: (-, ); range: [, ]; intercepts: (0, -), (-, 0), (, 0)

26 Match the graph to the function listed whose graph most resembles the one given. ) 3) A) absolute value function B) cube function C) square function D) reciprocal function ) A) linear function B) reciprocal function C) constant function D) absolute value function ) A) square root function B) square function C) cube function D) cube root function A) absolute value function B) linear function C) square function D) reciprocal function

27 ) A) linear function B) absolute value function C) constant function D) reciprocal function 7) A) cube function B) square root function C) square function D) cube root function ) A) square function B) absolute value function C) reciprocal function D) square root function 9) A) cube function B) square root function C) cube root function D) square function Sketch the graph of the function. Label at least three points. 7

28 90) f() = - - A) B) (1, 1) (0, 0) - (-1, -1) (-1, 1) (0, 0) - (1, -1) - - C) D) (, ) (-1, 1) - (0, 0) (0, 0) - (-1, -1) - - (, -)

29 91) f() = A) B) (, ) (-1, 1) - (0, 0) (0, 0) - (1, -1) - (-, -) - C) D) (1, 1) (0, 0) - (-1, -1) (-1, 1) (0, 0) - (1, -1) - - 9

30 9) f() = - - A) B) (, ) (1, 1) (, ) (1, 1) - (0, 0) - (0, 0) - - C) D) (0, 0) - (1, -1) (0, 0) - (1, -1) (, -) - (, -) - 30

31 93) f() = A) B) (1, 1) (0, 0) - (-1, -1) (1, 1) (0, 0) - (-1, -1) - - C) D) (1, 1) (, ) (1., 3.37) (1, 1) - (0, 0) - (0, 0)

32 9) f() = A) B) (1/3, 3) (1, 1) (, 1/) - (-3, -1/3) (-1/, -) (, -1/) - (-1, -1) - (-1/, -) - C) D) (-1/3, 3) (1, 1) (-, 1/) (3, 1/3) - (-1, 1) (-, 1/) (3, -1/3) - (1/, -) - - 3

33 9) f() = - - A) B) (, ) (-3, 3) (, ) (0, 0) - - (0, 0) (-3, -3) - - C) D) (0, 0) - (1, -1) (-3, -3) (1, 1) (0, 0) - (, -)

34 The graph of a function f is given. Use the graph to answer the question. 9) Use the graph of f given below to find f(0). - - A) 3 B) C) D) 0 97) Is f(0) positive or negative? A) positive B) negative 3

35 9) Is f() positive or negative? - - A) positive B) negative 99) For what numbers is f() = 0? A) -30 B) -0, -30, 3, 0 C) -30, 3 D) -30, 3, 0 3

36 0) For what numbers is f() > 0? - - A) (- -) B) (-, 7) C) (-, ) D) [-, -), (7, ) 1) For what numbers is f() < 0? - - A) [-, -1), (17., ) B) (-1, 17.) C) (-, -1) D) (-1, ) 3

37 ) What is the domain of f? A) all real numbers B) { 0} C) { -0 } D) { -0 0} 3) What are the -intercepts? A) -0, -0, 70, 0 B) -0, 70 C) -0 D) -0, 70, 0 37

38 ) What is the -intercept? A) 0 B) -0 C) 3 D) -30 ) How often does the line = -0 intersect the graph? A) once B) twice C) three times D) does not intersect 3

39 ) How often does the line = intersect the graph? A) once B) twice C) three times D) does not intersect 7) For which of the following values of does f() = -0? A) 30 B) 0 C) 0 D) -0 Answer the question about the given function. ) Given the function f() = , is the point (-1, 1) on the graph of f? A) Yes B) No 9) Given the function f() = , is the point (, -13) on the graph of f? A) Yes B) No 1) Given the function f() = + +, if = -1, what is f()? What point is on the graph of f? A) ; (-1, ) B) 0; (0, -1) C) 0; (-1, 0) D) ; (, -1) 39

40 111) Given the function f() = , what is the domain of f? A) [1, ) B) (-, ) C) [-1, ) D) (-, 1] 11) Given the function f() = , list the -intercepts, if an, of the graph of f. A) (-11, 0), (1, 0) B) (-11, 0), (9, 0) C) (11, 0), (-9, 0) D) (11, 0), (9, 0) 113) Given the function f() = - 1 -, list the -intercept, if there is one, of the graph of f. A) - B) C) - D) 1 11) Given the function f() = -, is the point (1, ) on the graph of f? - A) Yes B) No 11) Given the function f() = , is the point (, ) on the graph of f? 3 A) Yes B) No 11) Given the function f() = -, if =, what is f()? What point is on the graph of f? + 1 A) ;, B) ;, C) - 3 ; - 3, D) - 3 ;, ) Given the function f() = + 3, list the -intercepts, if an, of the graph of f. + 7 A) (3, 0), (-3, 0) B) (-7, 0) C) no -intercepts D) (- 3, 0) 11) Given the function f() = +, list the -intercept, if there is one, of the graph of f. - 7 A) - 7, 0 B) 0, - 7 C) (0, -) D) (0, 7) Find the domain of the function. 119) Nina is a comissioned salesperson. She earns a base salar of $330 per week plus % of the sales price of the items sold. Her gross salar G as a function of the price p of items sold is given b G(p) = p. What is the domain of the function? A) (0, ) B) [0, ) C) [330, ) D) (330, ) 0

41 ) Suppose the function D(p) = p represents the demand for hot dogs, whose price is p, at a baseball game. Find the domain of the function. A) [0, ] B) [0, ) C) [0, 1300] D) [0, 130] Match the function with the graph that best describes the situation. 11) The amount of rainfall as a function of time, if the rain fell more and more softl. A) B) C) D) 1

42 1) The height of an animal as a function of time. A) B) C) D)

43 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve. 13) Michael decides to walk to the mall to do some errands. He leaves home, walks 3 blocks in minutes at a constant speed, and realizes that he forgot his wallet at home. So Michael runs back in minutes. At home, it takes him 3 minutes to find his wallet and close the door. Michael walks blocks in 1 minutes and then decides to jog to the mall. It takes him 1 minutes to get to the mall which is blocks awa. Draw a graph of Michael's distance from home (in blocks) as a function of time. Answer: Distance (in blocks) Time (in minutes) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph the linear function. 3

44 1) F() = A) B) C) D)

45 1) G() = A) B) C) D)

46 1) H() = A) B) C) D)

47 17) f() = A) B) C) D)

48 1) g() = A) B) C) D)

49 19) P() = A) B) C) D)

50 130) F() = A) B) C) D)

51 131) G() = A) B) C) D)

52 13) f() = A) B) C) D) Find the zero of the linear function. 133) f() = - 7 A) -9 B) 9 C) - D)

53 13) g() = A) 9 B) C) - D) -9 13) H() = - + A) B) -9 C) - D) 9 13) G() = - - A) -0 B) - C) 0 D) 137) s(t) = 1 t - A) - B) C) - D) 13) p(q) = 1 q + 7 A) B) 1 C) -1 D) - 139) h(t) = - 1 t + 9 A) -7 B) -1 C) 1 D) 7 ) f(z) = z - 9 A) -3 B) - C) 3 D) 11) F(t) = 3 t + A) 9 B) -9 C) - D) 1) P(z) = - 3 z + A) B) - C) 9 D) -9 13) g(t) = - 3 t - 1 A) - B) -9 C) 9 D) 3

54 1) f() = 3 - A) B) 9 C) - D) -9 Solve. 1) The cost of renting a certain tpe of car is $31 per da plus $0.0 per mile. Find a linear function that epresses the cost C of renting a car for one da as a function of the number of miles driven. A) C() = B) C() = C) C() = ( + 0.0) + 31 D) C() = ) The cost of renting a certain tpe of car is $0 per da plus $0. per mile. A linear function that epresses the cost C of renting a car for one da as a function of the number of miles driven is C() = What are the independent and dependent variables? A) The independent variable is the number of das,. The dependent variable is the cost C. B) The independent variable is the number of miles driven,. The dependent variable is the cost C. C) The independent variable is the cost, C. The dependent variable is the number of miles driven, D) The independent variable is 0. The dependent variable is ) The cost of renting a certain tpe of car is $3 per da plus $0.0 per mile. A linear function that epresses the cost C of renting a car for one da as a function of the number of miles driven is C() = What is the implied domain of this linear function? A) [3, ) B) [0, 00] C) (0, ) D) [0, ) 1) The cost of renting a certain tpe of car is $37 per da plus $0.0 per mile. A linear function that epresses the cost C of renting a car for one da as a function of the number of miles driven is C() = What is the rental cost for one da if 3 miles are driven? A) $.0 B) $.0 C) $.77 D) $1.0 19) The cost of renting a certain tpe of car is $3 per da plus $0.07 per mile. A linear function that epresses the cost C of renting a car for one da as a function of the number of miles driven is C() = How man miles were driven if the rental cost for one da is $3.00? A) 00 miles B) 900 miles C) 3 miles D) 1 miles

55 10) The cost of renting a certain tpe of car is $1 per da plus $0.09 per mile. A linear function that epresses the cost C of renting a car for one da as a function of the number of miles driven is C() = Graph the linear function. Use a domain of C 0 0 Cost ($) Distance (miles) A) B) C C Cost ($) 0 0 Cost ($) Distance (miles) Distance (miles) C) D) C C Cost ($) 0 0 Cost ($) Distance (miles) Distance (miles)

56 11) David recentl switched to a long distance phone compan which charges a monthl fee of $. plus $0.0 per minute. Find a linear function that epresses the monthl bill B as a function of minutes used m. A) B(m) =.m B) B(m) = 0.0m +.m C) B(m) =.1m D) B(m) = 0.0m +. 1) David recentl switched to a long distance phone compan which charges a monthl fee of $. plus $0.0 per minute. A linear function that epresses the monthl bill B as a function of minutes used m is B(m) = 0.0m +.. What are the independent and dependent variables? A) The independent variable is., and the dependent variable is 0.0. B) The independent variable is the customer, and the dependent variable is B. C) The independent variable is m, and the dependent variable is B. D) The independent variable is B, and the dependent variable is m. 13) David recentl switched to a long distance phone compan which charges a monthl fee of $.9 plus $0.0 per minute. A linear function that epresses the monthl bill B as a function of minutes used m is B(m) = 0.0m What is the implied domain of this linear function? A) [0, ) B) [.9, ) C) (0, ) D) [0, 9] 1) David recentl switched to a long distance phone compan which charges a monthl fee of $.9 plus $0.0 per minute. A linear function that epresses the monthl bill B as a function of minutes used m is B(m) = 0.0m +.9. What is the monthl bill if 30 minutes were used for long distance phone calls? A) $1.7 B) $1. C) $1.9 D) $13.0 1) David recentl switched to a long distance phone compan which charges a monthl fee of $. plus $0.0 per minute. A linear function that epresses the monthl bill B as a function of minutes used m is B(m) = 0.0m +.. How man minutes were used for long distance if the long-distance phone bill was $3.0? A) minutes B) 00 minutes C) 0 minutes D) 31 minutes 1) David recentl switched to a long distance phone compan which charges a monthl fee of $. plus $0.07 per minute. A linear function that epresses the monthl bill B as a function of minutes used m is B(m) = 0.07m +.. Graph the linear function. Use a domain of 0 m B Bill Amount ($) Time (minutes) m

57 A) B) 30 B 30 B Bill Amount ($) 0 1 Bill Amount ($) Time (minutes) m Time (minutes) m C) D) 30 B 30 B Bill Amount ($) 0 1 Bill Amount ($) Time (minutes) m Time (minutes) m 17) A compan has just purchased a new computer for $000. The compan chooses to depreciate the computer using the straight-line method over ears. Find a linear function that epresses the book value V of the computer as a function of its age. A) V() = B) V() = C) V() = D) V() = ) A compan has just purchased a new computer for $7000. The compan chooses to depreciate the computer using the straight-line method over 7 ears. A linear function that epresses the book value V of the computer as a function of its age is V() = What is the implied domain of this linear function? A) (-, 7] B) [0, 7] C) [0, ) D) [0, 7000] 7

58 19) A compan has just purchased a new computer for $300. The compan chooses to depreciate the computer using the straight-line method over 7 ears. A linear function that epresses the book value V of the computer as a function of its age is V() = What are the intercepts of the graph of the linear function? A) The -intercept is 7 and the -intercept is 300. B) The -intercept is 300 and the -intercept is 7. C) The -intercept is 300 and the -intercept is D) The -intercept is 900 and the -intercept is 7. 10) A compan has just purchased a new computer for$000. The compan chooses to depreciate the computer using the straight-line method over ears. A linear function that epresses the book value V of the computer as a function of its age is V() = What is the book value of the computer after ears? A) $3900 B) $000 C) $0 D) $000 11) A compan has just purchased a new computer for $,00. The compan chooses to depreciate the computer using the straight-line method over 9 ears. A linear function that epresses the book value V of the computer as a function of its age is V() = -0 +,00. When will the book value of the computer be $000? A) After ears B) After 3 ears C) After ears D) After ears 1) A compan has just purchased a new computer for $70. The compan chooses to depreciate the computer using the straight-line method over ears. A linear function that epresses the book value V of the computer as a function of its age is V() = Graph the linear function V. 000 V 000 Book Value ($) Time (ears)

59 A) B) V V Book Value ($) Book Value ($) Time (ears) 1 Time (ears) C) D) V V Book Value ($) Book Value ($) Time (ears) 1 Time (ears) Determine whether the scatter diagram indicates that a linear relation ma eist between the two variables. If a linear relation does eist, indicate whether the slope is positive or negative. 13) A) Linear with negative slope B) Linear with positive slope C) Nonlinear 9

60 1) A) Nonlinear B) Linear with positive slope C) Linear with negative slope 1) A) Nonlinear B) Linear with negative slope C) Linear with positive slope 0

61 1) A) Linear with positive slope B) Linear with negative slope C) Nonlinear 17) Draw a scatter diagram of the given data. Find the equation of the line containing the points (1, 1.) and (9,.). Graph the line on the scatter diagram A) B) = =

62 C) D) = = ) Draw a scatter diagram of the given data. Find the equation of the line containing the points (.1,.) and (.,.9). Graph the line on the scatter diagram A) B) = =

63 C) D) = = Solve. 19) Find a linear function f such that f() = 9 and f() = 1. A) f() = B) f() = C) f() = + 1 D) f() = ) Find a linear function g such that g(9) = - and g(7) = -0. A) g() = B) g() = 3-3 C) g() = D) g() = SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 171) The following data represents the height (in inches) and weight (in pounds) of 9 randoml selected adults. Height, (in.) Weight, (lb) Graph the data on a scatter diagram treating height as the independent variable. Find an equation of the line containing the points (, 1) and (70, 179). Epress the relationship using function notation. Graph the line on the scatter diagram. Interpret the slope of the line. Use the line to predict the weight of a person who is 70.7 inches tall. Round to the nearest pound. 3

64 00 Weight (lb) Answer: 00 Weight (lb) =. -.7 W(h) =.h -.7 If height is increased b one inch, then weight will increase b. pounds 1 lb 17) Ultraviolet radiation from the sun is thought to be one factor causing skin cancer. The amount of UV radiation a person receives is a function of the thickness of the earth's ozone laer which depends on the latitude of the area where the person lives. The following data represent the latitudes and melanoma rates for nine randoml selected areas in the United States. The melanoma rates refer to a three-ear period. Degrees North Latitude, Melanoma Rate (per 0,000), Graph the data on a scatter diagram treating latitude as the independent variable. Find an equation of the line

65 containing the points (3., 7.1) and (3., 3.). Epress the relationship using function notation. Graph the line on the scatter diagram. Interpret the slope of the line. Use the line to predict the melanoma rate of an area with a latitude of 37.3 degrees north. Melanoma Rate (per 0,000) Latitude (degrees north) Answer: Melanoma Rate (per 0,000) Latitude (degrees north) = M(l) = -0.33l If latitude is increased b one degree north, then melanoma rate will decrease b 0.33 per 0,000.7 per 0,000 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 173) In the land of Taalot, the function T() = 0.1( - 900) + 70 represents the ta bill T of a single person whose adjusted gross income is dollars for incomes between 900 and,00 inclusive. What is the implied domain of this linear function? A) (900,,00) B) (900,,00] C) [900,,00] D) [900, ) 17) In the land of Taalot, the function T() = 0.1( - 00) represents the ta bill T of a single person whose adjusted gross income is dollars for incomes between 00 and 7,00 inclusive. What is a single filer's ta bill if adjusted gross income is $1,00? A) $ B) $3 C) $19 D) $1

66 17) In the land of Taalot, the function T() = 0.1( - 00) represents the ta bill T of a single person whose adjusted gross income is dollars for incomes between 00 and,00 inclusive. Which variable is independent and which is dependent? A) The independent variable is gross income; the dependent variable is adjusted gross income B) The independent variable is T; the dependent variable is C) The independent variable is ; the dependent variable is 00 D) The independent variable is ; the dependent variable is T 17) In the land of Taalot, the function T() = 0.1( ) + 70 represents the ta bill T of a single person whose adjusted gross income is dollars for incomes between 9700 and 7,00 inclusive. Graph the linear function over its domain. A) B) T T Ta Bill ($) Ta Bill ($) Adjusted Gross Income ($) Adjusted Gross Income ($)

67 C) D) T T Ta Bill ($) Ta Bill ($) Adjusted Gross Income ($) Adjusted Gross Income ($) 177) In the land of Taalot, the function T() = 0.1( - 900) + 70 represents the ta bill T of a single person whose adjusted gross income is dollars for incomes between 900 and 30,00 inclusive. What is a single filer's ta bill if adjusted gross income if their ta bill is $1? A) $13,000 B) $1,900 C) $1,000 D) $13,00 17) Mike works on commission selling electronic equipment. The linear function I(s) = 0.01s +,300 describes his annual income I when his total sales for the ear are s. What is the implied domain of this linear function? A) (0, ) B) [,300, ) C) [0, ) D) [0,,300] 179) Mike works on commission selling electronic equipment. The linear function I(s) = 0.01s +,0 describes his annual income I when his total sales for the ear are s. What is I(0). What does this result mean? A) $,0; this is Mike's annual salar if his total sales for the ear are zero B) $,0.01; this is the increase in Mike's annual salar for each $00 increase in his sales C) $,0.01; this is Mike's annual salar if his total sales for the ear are zero D) $,0; this is the amount of sales for which Mike's annual salar is zero 10) Mike works on commission selling electronic equipment. The linear function I(s) = 0.0s +,0 describes his annual income I when his total sales for the ear are s. What is Mike's annual salar if he sells $0,000 in electronic equipment for the ear? A) $,0 B) $,300 C) $,0 D) $3,0 7

68 11) Mike works on commission selling electronic equipment. The linear function I(s) = 0.0s + 0,00 describes his annual income I when his total sales for the ear are s. Graph the linear function. A) B) I I Annual Income ($) Annual Income ($) Sales ($) s Sales ($) s C) D) I I Annual Income ($) Annual Income ($) Sales ($) s Sales ($) s

69 1) Mike works on commission selling electronic equipment. The linear function I(s) = 0.0s + 3,700 describes his annual income I when his total sales for the ear are s. At what level of sales will Mike's income be $1,700? A) $3,000 B) $371,000 C) $30,000 D) $3,00,000 13) A multiple birth is an birth with or more children born. The birth rate is the number of births per 00 women. In one countr, the birth rate B of multiple births as a function of age a is given b the function B(a) = 1.a for 1 a. What are the independent and dependent variables? A) The independent variable is multiple birth rate, B; the dependent variable is age, a B) The independent variable is birth rate; the dependent variable is multiple birth rate C) The independent variable is age, a; the dependent variable is the number of children born D) The independent variable is age, a; the dependent variable is multiple birth rate, B 1) A multiple birth is an birth with or more children born. The birth rate is the number of births per 00 women. In one countr, the birth rate B of multiple births as a function of age a is given b the function B(a) = 1.7a for 1 a. What is the domain of the linear function? A) (1, ) B) [1, ] C) [1, ) D) [, ) 1) A multiple birth is an birth with or more children born. The birth rate is the number of births per 00 women. In one countr, the birth rate B of multiple births as a function of age a is given b the function B(a) = 1.77a for 1 a. What is the multiple birth rate of women who are 1 ears of age according to the model? A) B) 1. C) 11.7 D). 1) A multiple birth is an birth with or more children born. The birth rate is the number of births per 00 women. In one countr, the birth rate B of multiple births as a function of age a is given b the function B(a) = 1.79a for 1 a. Graph the linear function over its domain. 9

70 A) B) 70 0 B B Multiple Birth Rate Multiple Birth Rate Age a Age a C) D) B B Multiple Birth Rate Multiple Birth Rate Age a Age a 17) A multiple birth is an birth with or more children born. The birth rate is the number of births per 00 women. In one countr, the birth rate B of multiple births as a function of age a is given b the function B(a) = 1.7a for 1 a. What is age of women whose multiple birth rate is 3.7? A) 0 B) 3 C) 37 D) 3 1) The price of commodities, like pork bellies, is determined b suppl and demand. Thus, the price of pork bellies is a function of the number of pounds of pork bellies produced. The price of a pound of pork bellies can be estimated b the function f(q) = Q + 0.,,000 Q 0,000 where f(q) is the price of a pound of pork bellies and Q is the annual number of pounds of pork bellies produced. i) Construct a graph showing the relationship between the number of pounds of pork bellies produced and the price of a pound of pork bellies. ii) Estimate the cost of a pound of pork bellies if 70,000 pounds of pork bellies are produced in a given ear. 70

71 f (Q) Q A) i) B) i) f (Q) f (Q) Q Q ii) $1.0 per pound C) i) ii) $0. per pound D) i) f (Q) f (Q) Q Q ii) $1.0 per pound ii) $0. per pound Find the intersection of the sets. 19) {-, -, 1, } {1,, 7} A) {-, -, 1, } B) {-, -, 1,, 7} C) {1, } D) {1,, 7} 71

72 190) {-, -1,, } {-, 1,, 9} A) {-, -, -1, 1,,,, 9} B) C) {-1, 1, } D) {1} Find the union of the sets. 191) {-, -,, } {,, } A) {,, } B) {-, -,,, } C) {-, -,, } D) {, } 19) {-, -,, 7} {-, 0,, 9} A) {-, 0, } B) {-, -, -, 0,,, 7, 9} C) {0} D) Use the graph of the inequalit to find the set. 193) A = { < }, B = { > -} Find A B. A) { - < < }; (-, ) B) { > -}; (-, ) C) { < < 3}; (-, 3) D) { < }; (-, )

73 19) A = { < -}, B = { > } Find A B. A) { - < < }; (-, ) B) { > }; (, ) C) { < }; (-, -) D) { }; ) A = { < 3}, B = { > -} Find A B. A) { - < < }; (-, ) B) { - < < 3}; (-, 3) C) { > -}; (-, ) D) { < 3}; (-, 3)

74 19) A = { < -1}, B = { > 1} Find A B. A) { -1 < < 1}; (-1, 1) B) { < -1 or > 1}; (-, -1) (1, ) C) { }; D) { - < < }; (-, ) Solve the compound inequalit. Epress the solution using interval notation. Graph the solution set. 197) and -3 A) (-, -3] [, ) B) (-3, ) C) [-3, ] D)

75 19) 3 and - A) (-, -] B) [-, 3] C) (-, -] [3, ) D) [-, ) ) < 0 and + > A) [, ] B) (, ) C) (-, ) (, ) D)

76 00) - > -0 and + > 7 A) (, ) B) (-1, ) C) (-, -1) (, ) D) ) + < and - < -30 A) (-, -1) (, ) B) (-, -1) C) (-1, ) D)

77 0) - < -0 and + > A) (1, ) B) (, ) C) (-, 1) (, ) D) ) 1 < 3 1 A) (-, -] B) [, ) C) [-, -) D) (, ]

78 0) 3t A) (3, 7) B) [-7, -3] C) (-7, -3) D) [3, 7] 0) -1-3c + 3 < A) (-, -] B) [, ) C) [-, -) D) (, ]

79 0) - -z + -1 A) (, ) B) [, ] C) [-, -] D) (-, -) ) < A) (, ] B) (, 3] C) [, ) D) [, 3)

80 0) < 3 A) - 1, B) - 1, C) - 1, D) - 1, 09) < A) - 7, B) - 7, C) - 7, D) - 1,

81 ) or A) (-, ] [, ) 1 1 B) (-, ) C) (, ) D) [-, -] 11) < or < A) (-, ) (7, ) B) (, 7) C) (-, 7) D) (, )

82 1) > 3 or < 3 A) (-, 3) B) (3, 3) C) (3, ) D) (-, 3) (3, ) ) 9 - < 3 or - - A) (-, 1) [3, ) B) [1, 3] C) (1, 3) D)

83 1) or A) [-, ) B) [-, -] C) [-, ) D) (-, ) Solve the problem. 1) The dail number of visitors v to an amusement park was alwas at least but never more than 1. Epress this as an inequalit. A) v or v 1 B) v 1 C) < v < 1 D) v < or v > 1 1) The formula C = + 0 represents the estimated future cost of earl attendance at State Universit, where C is the cost in thousands of dollars ears after 00. Use a compound inequalit to determine when the attendance costs will range from 3 to thousand dollars. A) From 00 to 01 B) From 0 to 01 C) From 0 to 01 D) From 009 to ) The formula for converting Fahrenheit temperatures to Celsius temperatures is C = 9 (F - 3). Use this formula to solve the problem. In a certain cit, the average temperature ranges from -11 to 30 Celsius. Find an inequalit that represents the range of Fahrenheit temperatures. If necessar, round to the nearest tenth of a degree. A) -19. F B) -1. F C) 1. F D).9 F.7 1) Cind has scores of 7,,, and on her biolog tests. Use a compound inequalit to find the range of scores she can make on her final eam to receive a C in the course. The final eam counts as two tests, and a C is received if the course average is between 70 and 79. A) 70 final score 79 B) 9 final score 1 C) 11 final score 33. D) final score 73 3

84 19) At one point the echange equation for converting American dollars into Japanese en was Y = 19(d - ) where d is the number of American dollars, Y is the number of en, and $ is a one-time bank fee charged for currenc conversions. Use this equation to solve the following problem. Ariel is traveling to Japan for 3 weeks and has been advised to have between 19,000 and 30,000 en for spending mone for each week he is there. Write an inequalit that represents the number of American dollars he will need to bring to the bank to echange mone for this 3-week period. A) $1.9 d $97.71 B) $1.9 d $97.77 C) $. d $701.7 D) $3. d $ ) The formula for converting Celsius temperature, C, to Fahrenheit temperature, F, is F = 9 C + 3. If Fahrenheit temperature ranges from 17 to 7, inclusive, what is the range for the Celsius temperature? A) 7 C 1 B) 333 < C < 9 C) 7 < C < 1 D) 333 C 9 1) Parts for an automobile repair cost $3. The mechanic charges $7 per hour. If ou receive an estimate for at least $37 and at most $9 for fiing the car, what is the time interval that the mechanic will be working on the job? A) 1 t B) 1 t C) 1 t 17 D) t Solve the absolute value equation. ) = A) {, -} B) {} C) {} D) {-} 3) 1 = 1. A) {-1.3} B) {1.3, -1.3} C) {0, 1.3, -1.3} D) {1.3} ) - 9 = A) {, 13} B) {-13} C) {-, 13} D) ) + 3 = 1 A) {-9} B) {1} C) {9} D) {-9, 9} ) 7 + = A) 3, - B) - 7, 7 C) 7, - 7 D) 7) = 9 A) {, 0} B) {-, } C) {-, 0} D)

85 ) + = 9 A) {7, -7} B) { 7, - 7 } C) { 7, - 7 } D) 9) 9 = 0 A) {9} B) { 1 } C) {9, -9} D) {0} 9 30) + + = 11 A) - 1, - 11 B) - 1, - 11 C) 1, 11 D) 31) = 3 A) - 9, B) 3, 13 3 C) - 3, D) 3) - 11 = 0 A) - 11 B) 11 C) 11, - 11 D) 33) 7 + = + 1 A) 3, 1 B) - 1 3, C) 1 3, - D) 3) + 3 = 9 - A) B) {} C) 3 D) 3) - + = A), - 9 B) 3 C) 3, 9 D) 3) = - A) 1 7 B) 9 7, C) D)

86 Solve the inequalit. Graph the solution set, and state the solution set in interval notation. 37) A) (-, -] [, ) B) (-, ] C) (-, ) D) [-, ] 3) < A) (-, ) B) (-, -) (, ) C) [-, ] D) (-, ]

87 39) + 11 < 3 A) (-, -1) B) (, 1) C) (-, -) D) (-1, -) ) k A), B) -, 11, C) -, D),

88 1) + 11 A) (-, 19] B) [-3, 3] C) (-, -3] [3, ) D) (-, 3] ) k + < A) - 13, B) 3, C) -, , D)

89 3) A) [-, ] B) [-, ] C) (-, ) D) ) k + + < 13 A) -, B) - 9, C) -, - 9 1, D) -,

90 ) < -3 A) (-, -3) (3, ) B) (-3, 3) C) (-, -3] D) ) A) (-, ) B) C) D)

91 7) + 0 < A) (-, -) (0, ) B) (-, 0) C) (0, ) D) (-, ) ) A) [, ) B) [-, ] C) (-, -) (, ) D) (-, -] [, )

92 9) > 3 A) [-3, 3] B) (-3, 3) C) (-, -3) (3, ) D) [3, ) 0) - 1 > 11 A) (-3, -1) B) (1, 3) C) (-, 1) (3, ) D) (3, )

93 1) k + A) -, B) - 1, C) -, - 1 -, D) - 1, - ) A) (-, -] [, ) B) [, ) C) [, ) D) [-, ]

94 3) k + > - A) -, - 7-3, B) - 3, C) - 7, - 3 D) (-, ) ) A) [11, ) B) (-, -] [11, ) C) [-, 11] D) (-, 11)

95 ) k > A) -, , B) - 11, C) - 7, D) -, , ) > A) [-, ) B) (-, ) C) (-, -) (, ) D) (-, )

96 7) + 0 A) (-, -) (-, ) B) (-, ) (, ) C) D) (-, ) ) + 3 > A) (-, -) (0, ) B) (-, 0) C) (-, ) D) (0, )

97 9) - 11 > 0 A) 11, B) - 11, C) -, , D) -, 11 11, Solve the problem. 0) The length l of a metal rod used in manufacturing cars must not differ from the standard s b more than 0. inches. The manufacturing engineers epress this as l - s 0.. Find the limits of l if the standard s is.9. A) 3.3 l 3.7 B) l. or l 3.3 C) l 3.3 or l 3.7 D). l 3.3 1) The radius r of a plastic tube used in manufacturing a child's to must not differ from the standard s b more than 3 millimeters. The manufacturing engineers epress this as r - s 3. Find the limits of r if the standard s is 37. A) r 31 or r 3 B) 31 r 3 C) r 3 or r 0 D) 3 r 0 ) A plastic rod used in manufacturing boats must be rejected if it differs in length from the standard length, s, b 0.13 inches or more. If the length of a rod is denoted b l, engineers epress this relationship as l - s What are the values of l for which the part will be rejected, if the standard length is 1. inches? A) l 1.3 B) l 13.9 or l 1. C) l or l 1.3 D) l

98 Provide an appropriate response. 3) Write the relation as a map. Then identif the domain and the range of the relation. {(, 0), (, ), (, 30), (7, 3)} A) B) C) domain:{0,, 30, 3} range: {,,, 7} domain: {,,, 7} range: {0,, 30, 3} D) domain: {,,, 7} range: {0,, 30, 3} domain:{0,, 30, 3} range: {,,, 7} ) Identif the domain and range of the relation from the graph A) domain: (-, ) range: (-, ) B) domain: [-1, 1] range: [-π, π] C) domain: (-, ) range: [-1, 1] D) domain: [-π, π] range: [-1, 1] 9

99 ) Graph the relation = - b plotting points. Use the graph of the relation to identif the domain and range A) domain: (-, ); range: [, ) B) domain: (-, ); range: [0, ) C) domain: (-, ); range: [-, ) D) domain: (-, ); range: [0, )

100 Determine whether the relations represent functions. Identif the domain and range of each relation. ) A) not a function B) function domain:{1, 30,, } range: {3,, 7, 9} C) function domain: {3,, 7, 9} range: {1, 30,, } 7) A) not a function B) function domain: [3, ) range: (-, ) C) function domain: (-, ) range: [3, ) D) function domain: [0, ) range: (-, ) Provide an appropriate response. ) Does the equation = ± represent a function? A) Yes B) No 9) For f() = , find f( + h). A) -h + 13 B) h C) - - h + 13 D) - + h ) For g() = + - 1, find f(1). A) 0 B) C) D) - 0

101 71) Sketch the graph of f() = A) B) C) D)

102 Solve. 7) Suppose economists use as a model of a countr's econom the function N() = , where N represents the consumption of products in billions of dollars and represents disposable income in billions of dollars. a. Identif the dependent and independent variables. b. Evaluate N(9.)and eplain what it represents. A) a. The dependent variable is the number of billions of dollars, N, and the independent variable is the disposable income in billions of dollars. b. N(9.) = $. billion; According to the model, the number of billions of dollars for the consumption of products is $. billion. B) a. The dependent variable is the number of billions of dollars, N, and the independent variable is the disposable income in billions of dollars. b. N(9.) = $. billion; According to the model, the number of billions of dollars for the consumption of products is $. billion. C) a. The dependent variable is the number of billions of dollars, N, and the independent variable is the disposable income in billions of dollars. b. N(9.) = $. billion; According to the model, the number of billions of dollars for the consumption of products is $. billion. D) a. The dependent variable is the number of billions of dollars, N, and the independent variable is the disposable income in billions of dollars. b. N(9.) = $13. billion; According to the model, the number of billions of dollars for the consumption of products is $13. billion. 73) Mike works on commission selling electronic equipment. The linear function I(s) = 0.0s + 3,300 describes his annual income I when his total sales for the ear are s. At what level of sales will Mike's income be $3,00? A) $,000 B) $0,000 C) $,000 D) $,00,000 Provide an appropriate response. 7) Find the domain of f() = A) { } B) { -} C) { is an real number} D) { 11} 7) h() = - + a. Is the point (, ) on the graph of the function? b. If = 3, what is h()? What point is on the graph of the function? c. If h() =, what is? What point is on the graph of h? d. What is the zero of h? A) a. es b. h(3) = -; (3, -) c. = -; (-, ) d. B) a. es b. h(3) = ; (3, ) c. = 0; (0, ) d. C) a. no b. h(3) = ; (3, ) c. = -; (-, ) d. D) a. es b. h(3) = ; (3, ) c. = 0; (0, ) d.