TEST # 1 REVIEW MATH MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

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1 TEST # REVIEW MATH Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Give the domain and range of the relation. ) {(-8, -), (, ), (9, 8), (-, ), (-, 7)} A) domain = {, -, 7,, }; range = {-8, -, 9, 8, -} B) domain = {-8, -, 9, 8, -}; range = {, -, 7,, } C) domain = {-8, 9, -, -, }; range = {-, 8,, 7, } D) domain = {-, 8,, 7, }; range = {-8, 9, -, -, } ) Determine whether the equation defines as a function of. ) = - A) is a function of B) is not a function of ) Graph the given functions on the same rectangular coordinate sstem. Describe how the graph of g is related to the graph of f. ) f() =, g() = - ) A) g shifts the graph of f verticall down units

2 B) g shifts the graph of f verticall up units C) g shifts the graph of f verticall down units D) g shifts the graph of f verticall up units

3 Evaluate the function at the given value of the independent variable and simplif. ) f() = + ; f(-) A) B).7 C) - D) not a real number ) Use the graph to find the indicated function value. ) = f(). Find f(-) ) A) B) C) - D).7 Determine whether the equation defines as a function of. ) - = A) is a function of B) is not a function of ) Evaluate the function at the given value of the independent variable and simplif. 7) f() = - - ; f(-) 7) A) B) C) D) - Determine whether the equation defines as a function of. 8) + = 9 A) is a function of B) is not a function of 8)

4 Identif the intervals where the function is changing as requested. 9) Decreasing 9) A) (-, -) B) (0, ) C) (-, ) D) (0, -) Determine whether the given function is even, odd, or neither. 0) f() = + + A) Odd B) Even C) Neither 0) Evaluate the piecewise function at the given value of the independent variable. ) f() = - if > - -( - ) if - ) Determine f(-). A) - B) - C) - D)

5 Use the graph of the given function to find an relative maima and relative minima. ) f() = - + ) A) maimum: (0, ); minimum: none B) maimum: none; minimum: (, -) C) maimum: (0, ); minimum: (, -) D) no maimum or minimum Identif the intervals where the function is changing as requested. ) Increasing ) A) (-, 0) B) (, ) C) (, ) D) (-, ) Find and simplif the difference quotient ) f() = 7 f( + h) - f(), h 0 for the given function. h A) 7 B) h + + 7h C) 7( + h + h) h D) 7(+h) )

6 Determine whether the given function is even, odd, or neither. ) f() = - A) Even B) Neither C) Odd ) The graph of a function f is given. Use the graph to answer the question. ) Find the numbers, if an, at which f has a relative minimum. What are the relative minima? ) A) f has a relative minimum at = -; the relative minimum is 0 B) f has a relative minimum at = - and ; the relative minimum is 0 C) f has a relative minimum at = 0; the relative minimum is D) f has no relative minimum Solve. 7) The average value of a certain tpe of automobile was $,80 in 99 and depreciated to $9900 in 99. Let be the average value of the automobile in the ear, where = 0 represents 99. Write a linear equation that models the value of the automobile in terms of the ear. A) = -70 +,80 B) = ) C) = D) = Graph the equation in the rectangular coordinate sstem. 8) 7 - = - 8)

7 A) B) C) D) Use the given conditions to write an equation for the line in slope -intercept form. 9) Passing through (, ) and (8, 7) A) - = ( - ) B) = - - C) = m - D) = - 9) Graph the equation in the rectangular coordinate sstem. 0) = 0)

8 A) B) C) D) Find the slope of the line that goes through the given points. ) (-8, -7), (, -7) A) 0 B) - C) D) ) Use the given conditions to write an equation for the line in point -slope form. ) Slope = 8, passing through (, 7) 9 ) A) - 7 = 8 9 ( - ) B) + 7 = 8 9 ( + ) C) = D) - 7 = 8 ( - ) 9 Determine the slope and the -intercept of the graph of the equation. ) + + = 0 A) m = -; (0, ) B) m = ; (0, -) C) m = 0; (0, -) D) m = -; (0, -) ) Use the given conditions to write an equation for the line in point -slope form. ) Slope =, passing through (, ) A) = - B) - = ( - ) C) - = ( - ) D) + = ( + ) ) Graph the equation. 8

9 ) = 0 ) A) B) C) D) Use the given conditions to write an equation for the line in the indicated form. ) Passing through (, ) and parallel to the line whose equation is + - = 0; slope-intercept form ) A) = B) = - - C) = D) = - 0 9

10 Solve the problem. 7) Along with incomes, peopleʹs charitable contributions have steadil increased over the past few ears. The table below shows the average deduction for charitable contributions reported on individual income ta returns for the period 99 to 998. Find the average annual increase between 99 and 997. Year Charitable Contributions 99 $ $80 99 $0 99 $ $ $0 7) A) $0 per ear B) $ per ear C) $ per ear D) $0 per ear Use the given conditions to write an equation for the line in the indicated form. 8) Passing through (, ) and perpendicular to the line whose equation is = 0; slope-intercept form A) = - B) = - - C) = - + D) = - - 8) Solve the problem. 9) A deep sea diving bell is being lowered at a constant rate. After minutes, the bell is at a depth of 00 ft. After minutes the bell is at a depth of 00 ft. What is the average rate of lowering per minute? Round to the nearest hundredth is needed. 9) A).7 ft per minute B) 0.0 ft per minute C). ft per minute D).9 ft per minute Find the average rate of change of the function from to. 0) f() = from = to = 8 0) A) 7 B) C) D) - 0 Find the slope then describe what it means in terms of the rate of change of the dependent variable per unit change in the independent variable. ) The linear function f() = models the percentage of people, f(), who eat at fast food restaurants each week ears after 998. ) A) m = 9.; the percentage of people eating at fast food restaurants each week has increased at a rate of -9.% per ear after 998. B) m = -9.; the percentage of people eating at fast food restaurants each week has decreased at a rate of -9.% per ear after 998. C) m = 7; the percentage of people eating at fast food restaurants each week has increased at a rate of -9.% per ear after 998. D) m = 9.; the percentage of people eating at fast food restaurants each week has increased at a rate of 9.% per ear after

11 Find the domain of the function. ) f() = 9 - A) (-, 9) (9, ) B) (-, 9] C) (-, 9) ( 9, ) D) (-, 9] ) g() = - ) ) A) (-, ) B) (, ) C) (-, -) (-, ) (, ) D) (-, 0) (0, ) For the given functions f and g, find the indicated composition. ) f() = - +, g() = + (g f)() ) A) - + B) + C) D) - - ) f() = + 0, g() = - (f g)() ) A) B) 9 + C) D) Given functions f and g, perform the indicated operations. ) f() = 7 -, g() = - Find f - g. ) A) - 9 B) - + C) 9-9 D) - Given functions f and g, determine the domain of f + g. 7) f() = -, g() = + 9 7) A) (-, -) (-, -) (-, ) B) (-, -9) (-9, ) (, ) C) (-, ) D) (-, -) (-, 9) (9, ) Find the domain of the function. 8) f() = - 8) A) (, ) B) (-, 0) (0, ) C) (-, ) D) (-, ) (, ) Complete the square and write the equation in standard form. Then give the center and radius of the circle. 9) = 0 A) ( + ) +( - ) = 0 (-, ), r = 0 C) ( - ) +( + ) = 0 (-, ), r = 0 B) ( - ) +( + ) = 0 (, -), r = 0 D) ( - ) +( + ) = 0 (, -), r = 0 9)

12 Find the distance between the pair of points. 0) (-, -) and (-, ) A) 7 B) C) 9 D) 9 0) Find the midpoint of the line segment whose end points are given. ) (, ) and (-, ) ) A) (, ) B) (, 7) C) (, ) D) (, 7 ) Graph the equation. ) = 0 ) A) B) Find the distance between the pair of points. ) (, ) and (-, -) A) B) 0 C) D) ) Write the standard form of the equation of the circle with the given center and radius. ) (-, -); A) ( - ) + ( - ) = B) ( + ) + ( + ) = C) ( + ) + ( + ) = D) ( - ) + ( - ) = )

13 ) (-8, 0); A) + ( + 8) = B) ( - 8) + = C) + ( - 8) = D) ( + 8) + = ) Find the midpoint of the line segment whose end points are given. ) (9 7, ) and ( 7, 9 ) A) ( - 7, - ) B) ( 7, ) C) ( 7, ) D) ( 7, ) ) Use the graph or table to determine a solution of the equation. Use snthetic division to verif that this number is a solution of the equation. Then solve the polnomial equation. 7) = ) A) -; The remainder is zero; -, -, and -, or -, -, - B) -; The remainder is zero; -,, and -, or -, -, C) -; The remainder is zero;, -, and -, or -, -, D) -; The remainder is zero; -, -, and, or -, -, Use snthetic division and the Remainder Theorem to find the indicated function value. 8) f() = ; f() A) B) C) 8 D) - 8) Use snthetic division to show that the number given to the right of the equation is a solution of the equation, then solve the polnomial equation. 9) = 0; A) -, -, B) -,, C), -, D),, 9) Divide using snthetic division. 0) ( + + ) ( + ) A) - 0 B) - 0 C) + D) + 0)

14 Use snthetic division to show that the number given to the right of the equation is a solution of the equation, then solve the polnomial equation. ) = 0; - A) -,, - B), -, - C) -, -, - D),, - ) Find an nth degree polnomial function with real coefficients satisfing the given conditions. ) n = ; and i are zeros; f() = 0 A) f() = B) f() = C) f() = D) f() = ) Use the Rational Zero Theorem to list all possible rational zeros for the given function. ) f() = A) ±, ±, ± B) ±, ± C) ±, ± D) ±, ± ) Use Descartesʹs Rule of Signs to determine the possible number of positive and negative real zeros for the given ) f() = A) or 0 positive zeros, or 0 negative zeros B) or positive zeros, or negative zeros C) or 0 positive zeros, or 0 negative zeros D) or 0 positive zeros, negative zero ) Find a rational zero of the polnomial function and use it to find all the zeros of the function. ) f() = A) {, -, -} B) {, -, } C) {, -, } D) {-, -, -} ) Use the Rational Zero Theorem to list all possible rational zeros for the given function. ) f() = ) A) ±, ±, ±, ±, ±, ±, ±, ± B) ±, ±, ±, ±, ±, ±, ±, ±, ±, ±, ±, ±, ± C) ±, ±, ±, ±, ±, ±, ±, ±, ± D) ±, ±, ±, ±, ±, ±, ±, ±, ± Graph the rational function.

15 - 7) f() = ) A) B) C) D) Graph the function.

16 8) f() = + + 8) A) B) C) D) Solve the problem. 9) Is there -ais smmetr for the rational function f() = ? 9) A) Yes B) No

17 Find the indicated intercept(s) of the graph of the function. + 0) -intercepts of f() = + - 0) A) (, 0) B) (0, 0) and (, 0) C) (-, 0) D) (0, 0) and (-, 0) Graph the rational function. ) f() = + ( - ) ) A) B) C) D)

18 Use the graph of the rational function shown to complete the statement. ) ) As +, f()? A) + B) - C) - D) Graph the rational function. ) f() = - - ) A) B)

19 C) D) Find the horizontal asmptote, if an, of the graph of the rational function. ) h() = + ) A) = B) = 0 C) = D) no horizontal asmptote Write the form of the partial fraction decomposition of the rational epression. It is not necessar to solve for the constants. - ) ) ( - )( - ) A) C) A - + A - + B - + B - C ( - )( - ) B) D) A - + A - + B - + B - + C ( - )( - ) C + D ( - )( - ) Write the partial fraction decomposition of the rational epression ) ( - )( + ) A) C) ( - ) ( - ) B) ( - ) D) - - ( - ) ) 7) A) C) B) D) ) 9

20 + 8) ( - )( + + ) A) C) B) D) ) 0

21 Answer Ke Testname: TEST # REVIEW MATH SP 0. ) C ) A ) C ) A ) B ) A 7) B 8) A 9) C 0) C ) D ) C ) C ) D ) C ) B 7) A 8) C 9) D 0) D ) A ) A ) D ) C ) B ) A 7) A 8) C 9) D 0) C ) B ) B ) C ) A ) C ) D 7) B 8) D 9) B 0) A ) D ) B ) B ) B ) D ) D 7) A 8) B 9) B 0) D

22 Answer Ke Testname: TEST # REVIEW MATH SP 0. ) A ) B ) D ) D ) A ) D 7) B 8) C 9) B 0) D ) C ) D ) B ) D ) C ) C 7) D 8) D