Math 098 Exam 1 Preparation Ch1., Ch.2, 3.1, & 3.5 v01 NO BOOK/ NO NOTES/YES CALCUATOR Dressler Winter Name

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1 Math 098 Eam 1 Preparation Ch1., Ch., 3.1, & 3. v01 NO BOOK/ NO NOTES/YES CALCUATOR Dressler Winter 01 Name State the solution set of the inequalit in interval notation and sketch its graph. 1) + 7 > + 1) Epress the interval in set-builder notation and graph the interval on a number line. ) (-7, 3] ) ) (-, ] 3) ) [-1, 7) ) ) [-, 1) ) of

2 ) -, 8 7 ) ) -, 3 7) ) [-, 9] 8) ) [-3, ] 9) ) (7, ) ) ) (, ) 11) of

3 Solve the compound inequalit. Other than, use interval notation to epress the solution set and graph the solution set on a number line. 1) < 3 1 1) ) -3 < ) ) ) 1) < -18 1) 1) ) 17) < 17) of

4 18) < 11 18) Use graphs to find the set. 19) (-, 0) [-, 8] 19) 0) (-, 0) [-, ] 0) 1) (-9, 0) [-1, 8] 1) ) (-, 0) [-3, ] ) 3) (-, 9) [-, 17) 3) ) (-, ) [-, 18) ) ) (-, 3) [-8, 1) ) ) (-, 7) [-7, 13) ) of

5 7) (, ) [1, ) 7) 8) (, ) [1, ) 8) 9) (8, ) [13, ) 9) 30) (1, ) [1, ) 30) Epress the interval in set-builder notation and graph the interval on a number line. 31) [3, ) 31) ) [-, ) 3) ) (-, 3.] 33) ) (-, 8.] 3) of

6 State the solution set of the inequalit in interval notation and sketch its graph. 3) + > - 3) 3) ) 37) ) 38) 30 + > ( - ) 38) 39) + 1 > ( + 1) 39) 0) ( + 3) 0) of

7 1) ( - 9) 1) ) ) Solve. 3) Kevin invested part of his $,000 bonus in a certificate of deposit that paid % annual interest, and the remainder in a mutual fund that paid 11% annual interest. If his total interest for that ear was $700, how much did Kevin invest in the mutual fund? 3) ) Kevin invested part of his $,000 bonus in a certificate of deposit that paid % annual interest, and the remainder in a mutual fund that paid 11% annual interest. If his total interest for that ear was $900, how much did Kevin invest in the mutual fund? ) ) Melissa invested a sum of mone at 3% annual interest. She invested three times that sum at % annual interest. If her total earl interest from both investments was $700, how much was invested at 3%? ) ) A bank loaned out $1,000, part of it at the rate of 13% per ear and the rest at a rate of % per ear. If the interest received was $130, how much was loaned at 13%? ) 7) A bank loaned out $9,000, part of it at the rate of 1% per ear and the rest at a rate of % per ear. If the interest received was $080, how much was loaned at 1%? 7) 7 of

8 Graph the equation. 8) = - 8) ) = - 9) ) = - 0) of

9 1) = - 1 1) ) = ) ) = ) of

10 ) = - 3 ) - - ) = + 3 ) - - ) = 3 - ) of

11 7) = 3-7) ) = - + 8) - - 9) = ) of

12 0) = 3 0) - - 1) = - 1) - - ) = -3 ) of

13 3) = - 3) - - ) = 1 ) - - ) = 1 ) of

14 Begin b graphing the standard absolute value function f() =. Then use transformations of this graph to graph the given function. ) g() = + ) ) g() = - 7) Begin b graphing the standard function f() = 3 Then use transformations of this graph to graph the given function. 8) g() = 3-3 8) of

15 9) g() = 3 + 9) Determine the domain and range of the relation. State whether the relation is a function or not a function. 70) input ) output ) input 8 8 output ) 7) input output ) 73) input - - output ) 1 of

16 Solve the problem. 7) Some values for a relation are given in the table. Is the relation a function? 7) ) Some values for a relation are given in the table. Is the relation a function? 7) Given functions f and g, perform the indicated operations. 7) f() = +, g() = - Find fg. 7) 77) f() = 8 -, g() = 3-7 Find f - g. 77) 78) f() = 3-8, g() = Find f + g. 78) 79) f() = -, g() = 7-3 Find fg. 79) 1 of

17 Find the domain of the function. 80) ) 81) - 81) 8) f() = ) 83) f() = ) 8) f() = ) 8) f() = ) 8) f() = ) 87) f() = ) 17 of

18 1 88) f() = ) 89) f() = ) For the given functions f and g, find the indicated composition. 90) f() = 8 -, g() = 19-8 (f g)() 90) 91) f() = 11-7, g() = 0 - (f g)(7) 91) 9) f() = - +, g() = + + (f g)(3) 9) 93) f() = - - 3, g() = (f g)() 93) 9) f() = + 8, g() = - 1 (f g)() 9) 9) f() = 7 + 8, g() = - 1 (f g)() 9) 18 of

19 9) f() = - + 3, g() = + 7 (g f)() 9) 97) f() = - +, g() = + 3 (g f)() 97) 3 98) f() = +, (f g)() g() = 3 98) 7 99) f() = + 7, (f g)() g() = 7 99) 0) f() = -, g() = + (g f)() 0) 1) f() = - 8, g() = (g f)() 1) ) f() = , g() = 3 - (g f)() ) 3) f() = + + 7, g() = - (g f)() 3) 19 of

20 Decide whether the relation is a function. ) {(1, 7), (, -), (, ), (7, ), (1, -7)} ) ) {(-, 1), (-, 3), (-1, -), (-1, )} ) ) {(-, -3), (-1, -7), (3, ), (, )} ) Find the slope of the line passing through the pair of points or state that the slope is undefined. 7) (, 1) and (-8, 17) 7) 8) (-8, -) and (18, -1) 8) 9) (-7, 8), (-3, 9) 9) 1) (7, ), (-3, 9) 1) 111) (9, 1) and (9, -9) 111) 11) (1, -) and (1, ) 11) 0 of

21 Find the slope of the line, or state that the slope is undefined. 113) 113) ) 11) ) 11) of

22 11) 11) ) 117) ) 118) - - of

23 119) 119) ) 10) - - Solve the sstem b the addition method. If there is no solution or an infinite number of solutions, so state. Use set notation to epress the solution set. 11) + = 1 11) - = -1 1) + = - - = 1) 13) - = 7 - = 3 13) 3 of

24 1) =9 - = -3 1) 1) =- 3-3 = 9 1) 1) = = - 9 1) 17) = ) = - 3 Solve the problem. 18) Devon purchased tickets to an air show for 9 adults and children. The total cost was $3. The cost of a childʹs ticket was $ less than the cost of an adultʹs ticket. Find the price of an adultʹs ticket and a childʹs ticket. 18) 19) Devon purchased tickets to an air show for 8 adults and children. The total cost was $. The cost of a childʹs ticket was $7 less than the cost of an adultʹs ticket. Find the price of an adultʹs ticket and a childʹs ticket. 19) 130) A barge takes hours to move (at a constant rate) downstream for miles, helped b a current of 3 miles per hour. If the bargeʹs engines are set at the same pace, find the time of its return trip against the current. 130) of

25 131) A barge takes hours to move (at a constant rate) downstream for 3 miles, helped b a current of miles per hour. If the bargeʹs engines are set at the same pace, find the time of its return trip against the current. 131) 13) Khang and Hector live. miles apart in southeastern Missouri. The decide to biccle towards each other and meet somewhere in between. Hectorʹs rate of speed is 0% of Khangʹs. The start out at the same time and meet 3 hours later. Find Hectorʹs rate of speed. 13) 133) Khang and Hector live.8 miles apart in southeastern Missouri. The decide to biccle towards each other and meet somewhere in between. Hectorʹs rate of speed is 0% of Khangʹs. The start out at the same time and meet hours later. Find Hectorʹs rate of speed. 133) 13) Doreen and Irena plan to leave their houses at the same time, roller blade towards each other, and meet for lunch after hours on the road. Doreen can maintain a speed of. miles per hour, which is 0% of Irenaʹs speed. If the meet eactl as planned, what is the distance between their houses? 13) 13) Doreen and Irena plan to leave their houses at the same time, roller blade towards each other, and meet for lunch after 3 hours on the road. Doreen can maintain a speed of. miles per hour, which is 70% of Irenaʹs speed. If the meet eactl as planned, what is the distance between their houses? 13) of

26 Answer Ke Testname: EXAM1PREP CH 1,, 3.&3.V01 1) (3, ) ) { -7 < 3} ) { - < } ) { -1 < 7} ) { - < 1} ) < ) < ) { - 9} ) { -3 } ) { > 7} ) { > } ) (, 7] 13) (0, 9] of

27 Answer Ke Testname: EXAM1PREP CH 1,, 3.&3.V01 1) [3, ] 1) (, 7] ) [, 7] ) (-, -] ) [3, ) ) [-, 0) 0) [-, 0) 1) (-9, 8] ) (-, ] 3) [-, 9) ) [-, ) ) (-, 1) ) (-, 13) 7) [1, ) 8) [1, ) 9) (8, ) 30) (1, ) 31) { 3} ) { -} ) { 3.} ) { 8.} ) (-, ) of

28 Answer Ke Testname: EXAM1PREP CH 1,, 3.&3.V01 3) [-, ) ) [7, ) ) (-3, ) ) (-, ) ) [, ) ) [-3, ) ) [-, ) ) $000 ) $000 ) $0,000 ) $,000 7) $9,000 8) of

29 Answer Ke Testname: EXAM1PREP CH 1,, 3.&3.V01 9) ) ) of

30 Answer Ke Testname: EXAM1PREP CH 1,, 3.&3.V01 ) ) ) of

31 Answer Ke Testname: EXAM1PREP CH 1,, 3.&3.V01 ) - - ) ) of

32 Answer Ke Testname: EXAM1PREP CH 1,, 3.&3.V01 8) - - 9) - - 0) of

33 Answer Ke Testname: EXAM1PREP CH 1,, 3.&3.V01 1) - - ) - - 3) of

34 Answer Ke Testname: EXAM1PREP CH 1,, 3.&3.V01 ) - - ) - - ) 8 7) of

35 Answer Ke Testname: EXAM1PREP CH 1,, 3.&3.V01 8) 8 9) ) domain: {1,, 3} range: {1, 8, 1, } not a function 71) domain: {, 8, 8} range: {, 3, 11, } not a function 7) domain: {-,-1, 1, } range: { 1, 1} function 73) domain: {-,-,, } range: {, 11} function 7) No 7) Yes 7) ) + 78) ) ) (7, ) 81) (, ) 8) (-, -7) (-7, ) 83) (-, -9) (-9, ) 8) (-, -9) (-9, ) 8) (-, -1) (-1, ) 8) (-, 3) (3, ) 87) (-, 7) (7, ) 3 of

36 Answer Ke Testname: EXAM1PREP CH 1,, 3.&3.V01 88) (-, 9) (9, 8) (8, ) 89) (-, 9) (9, 3) (3, ) 90) 3,8 91) 19,78 9) 0 93) 1 9) + 9) ) ) ) ) ) 1) ) ) ) Function ) Not a function ) Function 7) ) 13 9) 1 1) ) undefined 11) undefined 113) 3 11) 11) 1 11) ) 0 118) 0 119) Undefined 10) Undefined 11) {(7, 8)} 1) {(-1, -3)} 13) {(9, -3)} 1) {(0, 7)} 1) {(0, -3)} 1) {(-, 7)} 17) {(-, )} 3 of

37 Answer Ke Testname: EXAM1PREP CH 1,, 3.&3.V01 18) adultʹs ticket: $1; childʹs ticket: $17 19) adultʹs ticket: $1; childʹs ticket: $ 130) 11 hours 131) 8 hours 13). mph 133). mph 13) 8.8 miles 13) 0.8 miles 37 of