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Algebra for College Students 8th Edition Blitzer Test BankFull Download: ge-students-8th-edition-blitzer-test-bank/MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Find the domain and range.1) {(5,3), (-11,-8), (-1,9), (6,-7), (-2,-1)}A) domain {-1, 6, -7, -1, 9}; range {5, 3, -11, -8, -2}B) domain {5, -11, -2, 6, -1}; range {3, -8, -1, -7, 9}C) domain {3, -8, -1, -7, 9}; range {5, -11, -2, 6, -1}D) domain {5, 3, -11, -8, -2}; range {-1, 6, -7, -1, 9}Answer: B2) {(-7,7), (-1,-7), (-3,-5), (-3,-8)}A) domain {-7, -3, -1, -13}; range {7, -5, -7, -8}B) domain {7, -5, -7, -8}; range {-7, -3, -1}C) domain {-7, -3, -1}; range {7, -5, -7, -8}D) domain {-7, -3, -1, 3}; range {7, -5, -7, -8}Answer: C3) {(-4,-3), (-4,-7), (-10,4), (5,-4), (-9,9)}A) domain {-10, -3, 5, -9, -4}; range {4, -4, 9, -7, -3}B) domain {-10, 5, -9, -4}; range {4, -4, 9, -7, -3}C) domain {4, -4, 9, -7, -3}; range {-10, -10, 5, -9, -4}D) domain {-10, 13, 5, -9, -4}; range {4, -4, 9, -7, -3}Answer: B4) {(7,7), (-1,-3), (-2,-7), (-2,3)}A) domain {7, -1, -2}; range {7, -3, -7, 3}B) domain {7, -1, -2, -12}; range {7, -3, -7, 3}C) domain {7, -1, -2, 2}; range {7, -3, -7, 3}D) domain {7, -3, -7, 3}; range {7, -1, -2}Answer: A5) {(-4,6), (9,3), (1,-1), (-6,-9)}A) domain {3, 6, -1, -9}; range {9, -4, 1, -6}B) domain {9, -4, 1, -6}; range {3, 6, -1, -9}C) domain {9, -4, 1, -6}; range {3, 3, 6, -1, -9}D) domain {9, -4, 1, -6}; range {3, -6, 6, -1, -9}Answer: B6) {(-3, 13), (-2, 8), (0, 4), (2, 8), (4, 20)}A) domain: {-3, -2, 2, 4}; range: {13, 8, 4, 20}B) domain: {13, 8, 4, 20}; range: {-3, -2, 2, 4}C) domain: {13, 8, 4, 20}; range: {-3, -2, 0, 2, 4}D) domain: {-3, -2, 0, 2, 4}; range: {13, 8, 4, 20}Answer: D7) {(29, -3), (4, -2), (4, 0), (8, 2), (20, 4)}A) domain: {-3, -2, 2, 4}; range: {29, 8, 4, 20}B) domain: {-3, -2, 0, 2, 4}; range: {29, 8, 4, 20}C) domain: {29, 8, 4, 20}; range: {-3, -2, 0, 2, 4}D) domain: {29, 8, 4, 20}; range: {-3, -2, 2, 4}Answer: C1Full download all chapters instantly please go to Solutions Manual, Test Bank site: testbanklive.com
Decide whether the relation is a function.8) {(-2, 1), (3, 8), (6, 4), (9, 7), (11, -1)}A) functionB) not a functionAnswer: A9) {(-5, 3), (-2, 6), (2, -7), (6, -5)}A) not a functionB) functionAnswer: B10) {(-6, -8), (-3, 9), (-1, -5), (2, 3)}A) not a functionB) functionAnswer: B11) {(-5, 8), (-2, -9), (1, 6), (6, 4)}A) not a functionB) functionAnswer: B12) {(1, 2), (3, 2), (4, -8), (9, -6), (12, 1)}A) not a functionB) functionAnswer: B13) {(-5, -1), (-3, -2), (-1, 1), (-1, -4)}A) not a functionB) functionAnswer: A14) {(-5, 1), (-3, -8), (3, -7), (3, 2)}A) functionB) not a functionAnswer: B15) {(-6, 2), (-6, -3), (2, 3), (6, 7), (10, -9)}A) not a functionB) functionAnswer: A16) {(3, -9), (3, 7), (4, 1), (8, 7), (12, 1)}A) functionB) not a functionAnswer: B17) {(-6, 5), (-6, -4), (-1, -8), (3, 4), (9, 6)}A) not a functionB) functionAnswer: A2
18) Women's Shoe SizesUSA 3 4 5 6 7 8 9Japan 20 21 22 23 24 25 26A) not a functionB) functionAnswer: B19) Tallest Roller Coaters in U.S. Amusement ParksAmusement Park Name Park A Park A Park B Park C Park B Park ACoaster Height (feet)726965646057A) functionB) not a functionAnswer: BFind the indicated function value.20) Find f(3) when f(x) x2 - 4x 2.A) -5B) 23C) -1D) 19Answer: C21) Find f(-1) when f(x) 5x2 5x - 3.A) -3B) 3C) 7D) -7Answer: A22) Find f(1) when f(x) 18x 12.A) -6B) 30C) 19.2D) 6Answer: B23) Find f(2) when f(x) 2.A) 0B) 2C) -2D) -4Answer: B24) Find f(0) when f(x) x2 5x - 7.A) 0B) 49C) 7D) -7Answer: D3
25) Find f(-5) when f(x) A) -28165B) -28117C) -28125D) -533x2 3.x3 8xAnswer: A26) Find f(4) when f(x) A)2023B)6423C)6823D)174x3 4.x2 7Answer: C27) Find g(a 1) when g(x) 2x 3.A) 2aB) 2a 8C) 2a 2D) 2a 5Answer: D28) Find g(a 1) when g(x) A)a - 234B)a - 114C)a-84D)a 1141x - 3.4Answer: B4
29) Find r(a 5) when r(x) A)735a 99B)7a 14C)12a 9D)71 a 9 27.x 9Answer: B30)xf(x)-4-10-2-206214422A) 22B) -10C) 14D) -2Find f(-2)Answer: D31)x-5-3035A) -3B) 0C) 3D) -5f(x)-80122432For what value of x is f(x) 12?Answer: BGraph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graphof f.5
32) f(x) x, g(x) x 46y54321-6 -5 -4 -3 -2 -1-1123456 x-2-3-4-5-6A) g shifts the graph of f verticallyup 4 units6y54321-6 -5 -4 -3 -2 -1-1123456 x56 x-2-3-4-5-6B) g shifts the graph of f verticallydown 4 units6y54321-6 -5 -4 -3 -2 -1-11234-2-3-4-5-66
C) g shifts the graph of f verticallydown 4 unitsy654321-6 -5 -4 -3 -2 -1-1123456 x56 x-2-3-4-5-6D) g shifts the graph of f verticallyup 4 unitsy654321-6 -5 -4 -3 -2 -1-112343456 x-2-3-4-5-6Answer: D33) f(x) x, g(x) x - 26y54321-6 -5 -4 -3 -2 -1-112-2-3-4-5-67
A) g shifts the graph of f verticallyup 2 units6y54321-6 -5 -4 -3 -2 -1-1123456 x56 x56 x-2-3-4-5-6B) g shifts the graph of f verticallyup 2 units6y54321-6 -5 -4 -3 -2 -1-11234-2-3-4-5-6C) g shifts the graph of f verticallydown 2 units6y54321-6 -5 -4 -3 -2 -1-11234-2-3-4-5-68
D) g shifts the graph of f verticallydown 2 unitsy654321-6 -5 -4 -3 -2 -1-1123453456 x6 x-2-3-4-5-6Answer: D34) f(x) -4x, g(x) -4x - 46y54321-6 -5 -4 -3 -2 -1-112-2-3-4-5-6A) g shifts the graph of f verticallydown 4 units6y54321-6 -5 -4 -3 -2 -1-1123456 x-2-3-4-5-69
B) g shifts the graph of f verticallydown 4 units6y54321-6 -5 -4 -3 -2 -1-1123456 x56 x56 x-2-3-4-5-6C) g shifts the graph of f verticallyup 4 units6y54321-6 -5 -4 -3 -2 -1-11234-2-3-4-5-6D) g shifts the graph of f verticallyup 4 units6y54321-6 -5 -4 -3 -2 -1-11234-2-3-4-5-6Answer: A10
35) f(x) -3x, g(x) -3x 46y54321-6 -5 -4 -3 -2 -1-1123456 x-2-3-4-5-6A) g shifts the graph of f verticallydown 4 units6y54321-6 -5 -4 -3 -2 -1-1123456 x56 x-2-3-4-5-6B) g shifts the graph of f verticallydown 4 units6y54321-6 -5 -4 -3 -2 -1-11234-2-3-4-5-611
C) g shifts the graph of f verticallyup 4 unitsy654321-6 -5 -4 -3 -2 -1-1123456 x56 x-2-3-4-5-6D) g shifts the graph of f verticallyup 4 unitsy654321-6 -5 -4 -3 -2 -1-112343456 x-2-3-4-5-6Answer: C36) f(x) x , g(x) x 26y54321-6 -5 -4 -3 -2 -1-112-2-3-4-5-612
A) g shifts the graph of f verticallydown 2 units6y54321-6 -5 -4 -3 -2 -1-1123456 x56 x56 x-2-3-4-5-6B) g shifts the graph of f verticallyup 2 units6y54321-6 -5 -4 -3 -2 -1-11234-2-3-4-5-6C) g shifts the graph of f verticallyup 2 units6y54321-6 -5 -4 -3 -2 -1-11234-2-3-4-5-613
D) g shifts the graph of f verticallydown 2 unitsy654321-6 -5 -4 -3 -2 -1-1123453456 x6 x-2-3-4-5-6Answer: B37) f(x) x , g(x) x - 26y54321-6 -5 -4 -3 -2 -1-112-2-3-4-5-6A) g shifts the graph of f verticallyup 2 units6y54321-6 -5 -4 -3 -2 -1-1123456 x-2-3-4-5-614
B) g shifts the graph of f verticallydown 2 units6y54321-6 -5 -4 -3 -2 -1-1123456 x56 x56 x-2-3-4-5-6C) g shifts the graph of f verticallydown 2 units6y54321-6 -5 -4 -3 -2 -1-11234-2-3-4-5-6D) g shifts the graph of f verticallyup 2 units6y54321-6 -5 -4 -3 -2 -1-11234-2-3-4-5-6Answer: C15
38) f(x) x2 , g(x) x2 36y54321-6 -5 -4 -3 -2 -1-1123456 x-2-3-4-5-6A) g shifts the graph of f verticallyup 3 units6y54321-6 -5 -4 -3 -2 -1-1123456 x56 x-2-3-4-5-6B) g shifts the graph of f verticallydown 3 units6y54321-6 -5 -4 -3 -2 -1-11234-2-3-4-5-616
C) g shifts the graph of f verticallyup 3 unitsy654321-6 -5 -4 -3 -2 -1-1123456 x56 x-2-3-4-5-6D) g shifts the graph of f verticallydown 3 unitsy654321-6 -5 -4 -3 -2 -1-112343456 x-2-3-4-5-6Answer: A39) f(x) x2 , g(x) x2 - 36y54321-6 -5 -4 -3 -2 -1-112-2-3-4-5-617
A) g shifts the graph of f verticallyup 3 units6y54321-6 -5 -4 -3 -2 -1-1123456 x56 x56 x-2-3-4-5-6B) g shifts the graph of f verticallydown 3 units6y54321-6 -5 -4 -3 -2 -1-11234-2-3-4-5-6C) g shifts the graph of f verticallyup 3 units6y54321-6 -5 -4 -3 -2 -1-11234-2-3-4-5-618
D) g shifts the graph of f verticallydown 3 unitsy654321-6 -5 -4 -3 -2 -1-1123453456 x6 x-2-3-4-5-6Answer: B40) f(x) x3 , g(x) x3 26y54321-6 -5 -4 -3 -2 -1-112-2-3-4-5-6A) g shifts the graph of f verticallydown 2 units6y54321-6 -5 -4 -3 -2 -1-1123456 x-2-3-4-5-619
B) g shifts the graph of f verticallyup 2 units6y54321-6 -5 -4 -3 -2 -1-1123456 x56 x56 x-2-3-4-5-6C) g shifts the graph of f verticallydown 2 units6y54321-6 -5 -4 -3 -2 -1-11234-2-3-4-5-6D) g shifts the graph of f verticallyup 2 units6y54321-6 -5 -4 -3 -2 -1-11234-2-3-4-5-6Answer: B20
41) f(x) x3 , g(x) x3 - 26y54321-6 -5 -4 -3 -2 -1-1123456 x-2-3-4-5-6A) g shifts the graph of f verticallydown 2 units6y54321-6 -5 -4 -3 -2 -1-1123456 x56 x-2-3-4-5-6B) g shifts the graph of f verticallyup 2 units6y54321-6 -5 -4 -3 -2 -1-11234-2-3-4-5-621
C) g shifts the graph of f verticallydown 2 unitsy654321-6 -5 -4 -3 -2 -1-1123456 x56 x-2-3-4-5-6D) g shifts the graph of f verticallyup 2 unitsy654321-6 -5 -4 -3 -2 -1-112343456 x-2-3-4-5-6Answer: A42) f(x) 3x2 , g(x) 3x2 - 36y54321-6 -5 -4 -3 -2 -1-112-2-3-4-5-622
A) g shifts the graph of f verticallyup 3 units6y54321-6 -5 -4 -3 -2 -1-1123456 x56 x56 x-2-3-4-5-6B) g shifts the graph of f verticallydown 3 units6y54321-6 -5 -4 -3 -2 -1-11234-2-3-4-5-6C) g shifts the graph of f verticallyup 3 units6y54321-6 -5 -4 -3 -2 -1-11234-2-3-4-5-623
D) g shifts the graph of f verticallydown 3 unitsy654321-6 -5 -4 -3 -2 -1-1123453456 x6 x-2-3-4-5-6Answer: B43) f(x) 3x2 , g(x) 3x2 36y54321-6 -5 -4 -3 -2 -1-112-2-3-4-5-6A) g shifts the graph of f verticallyup 3 units6y54321-6 -5 -4 -3 -2 -1-1123456 x-2-3-4-5-624
B) g shifts the graph of f verticallydown 3 units6y54321-6 -5 -4 -3 -2 -1-1123456 x56 x56 x-2-3-4-5-6C) g shifts the graph of f verticallydown 3 units6y54321-6 -5 -4 -3 -2 -1-11234-2-3-4-5-6D) g shifts the graph of f verticallyup 3 units6y54321-6 -5 -4 -3 -2 -1-11234-2-3-4-5-6Answer: A25
Use the vertical line test to determine whether or not the graph is a graph of a function.44)yxA) not a functionB) functionAnswer: B45)yxA) not a functionB) functionAnswer: B46)yxA) functionB) not a functionAnswer: B26
47)yxA) functionB) not a functionAnswer: B48)yxA) functionB) not a functionAnswer: A49)yxA) functionB) not a functionAnswer: A27
50)yxA) not a functionB) functionAnswer: B51)yxA) functionB) not a functionAnswer: B52)yxA) functionB) not a functionAnswer: A28
53)yxA) not a functionB) functionAnswer: B54)yxA) not a functionB) functionAnswer: A55)yxA) functionB) not a functionAnswer: A29
56)yxA) not a functionB) functionAnswer: AUse the graph to find the indicated function value.57) y f(x). Find f(4).5y4321-5-4-3-2-112345 x-1-2-3-4-5A) 13B) -4C) 4D) 1.75Answer: D30
58) y f(x). Find f(-2)5y4321-5-4-3-2-112345 x12345 x-1-2-3-4-5A) -2B) 2C) 1.25D) 5Answer: B59) y f(x). Find f(2)y12108642-5-4-3-2-1 -2-4-6-8-10-12A) 5B) -5C) 0.5D) 3Answer: A31
60) y f(x). Find f(-5)y654321-5-4-3-2-112345 x-1-2A) 4.5B) 0.5C) 11D) 3.5Answer: BThe graph below shows the percentage of students enrolled in the College of Engineering at State University. Use thegraph to answer the question.61) Does the graph represent a function?A) noB) yesAnswer: B62) If f represents the function, find f(1970).A) approximately 4%B) approximately 2.5%C) approximately 7.5%D) approximately 9.5%Answer: C32
63) If f(x) 15%, what year is represented by x?A) 1995B) 1990C) 1985D) 1980Answer: B64) Between what two years is the difference in function values equal to 5%?A) between 1970 and 1975B) between 1995 and 2000C) between 1980 and 1985D) between 1990 and 1995Answer: DUse the graph to identify domain and range.65)y105-10-5510x-5-10A) domain: (0, )range: (0, )B) domain: (- , )range: (- , )C) domain: (0, )range: (- , )D) domain: (- , )range:(0, )Answer: B33
66)y105-10-5510x510x-5-10A) domain: {-5}range: (0, )B) domain: {-5}range: (- , )C) domain: (- , )range: {-5}D) domain: (0, )range: {-5}Answer: C67)y105-10-5-5-10A) domain: (1, )range: (- , )B) domain: (- , )range: (1, )C) domain: [1, )range: (- , )D) domain: (- , )range: [1, )Answer: D34
68)y105-10-5510x510x-5-10A) domain: [- 1, )range: (- , )B) domain: (- , )range: [- 1, )C) domain: (- 1, )range: (- , )D) domain: (- , )range: (- 1, )Answer: B69)10y5-10-5-5-10A) domain: [0, 7]range: (- , )B) domain: (- , )range: [0, 7]C) domain: [2, 7]range: (- , )D) domain: (- , )range: [2, 7]Answer: B35
Find the domain of the function.70) f(x) 3x - 5A) (- , )B) (- , 0) or (0, )C) (5, )D) (- , 5) or (5, )Answer: A71) f(x) 1x 7A) (- , -7) or (-7, )B) (-7, )C) (- , )D) (- , 0) or (0, )Answer: A72) f(x) 9xx 3A) (- , )B) (- , -3)C) (- , 0) or (0, )D) (- , -3) or (-3, )Answer: D73) f(x) x -7x-3A) (- , 0) or (0, )B) (- , 7) or (7, )C) (- , )D) (- , 3) or (3, )Answer: D74) f(x) 14 x-3 x 6A) (- , -3) or (-3, 6) or (6, )B) (- , -6) or (-6, 3) or (3, )C) (- , -6) or (3, )D) (- , )Answer: B75) f(x) x2 4A) [-4, )B) (-4, )C) (- , )D) (- , -4) or (-4, )Answer: C36
76) f(x) x2x 12A) (- , -12) or (-12, )B) (-12, )C) (- , 0) or (0, )D) (- , )Answer: DFind the indicated function value.77) f(x) 8 - 8x, g(x) -5x 8Find (f g)(x).A) -13x 16B) 3xC) -3x 16D) -5x 8Answer: A78) f(x) x - 4, g(x) x 2Find (f g)(-3).A) 0B) -4C) -12D) -8Answer: D79) f(x) 3x 5, g(x) -4x 1Find (f g)(-3).A) 8B) -3C) 9D) -17Answer: C80) f(x) 4x2 - 2x - 7, g(x) -7x 4Find (f g)(-4).A) -43B) 97C) -31D) -63Answer: B81) f(x) 2x 4, g(x) 2x2 - 1Find (f g)(3).A) 24B) 23C) 27D) 29Answer: C37
82) f(x) 3x 1, g(x) 2x2 - 3x - 2Find (f g)(2).A) 19B) 17C) 1D) 7Answer: D83) f(x) 3x2 - 5, g(x) 2x2 - 4Find (f g)(2).A) 7B) 3C) 11D) 19Answer: C84) f(x) 3x2 - 1, g(x) 2x2 4x - 1Find (f g)(3).A) 37B) 55C) 43D) 57Answer: B31x - 5, g(x) x3 - x2 x4285) f(x) x2 -Find (f g)(x).11A) x3 x2 x - 548B) 2x3 -5 2x - 4x4C) 2x3 -5 2x - 4x8D) x3 1 2 1x x-524Answer: DFor the pair of functions, determine the domain of f g.86) f(x) 2x -3, g(x) 2x 2A) (- , )(- , )B) (- , 0) or (0, )C) (- , -2) or (-2, )D) (0, )Answer: A38
87) f(x) 4x 8, g(x) 2x-4A) (0, )B) (- , )C) (- , 4) or (4, )D) (- , -2) or (-2, )Answer: C88) f(x) 2x 8, g(x) 2x 4A) (0, )B) (- , -4) or (-4, )C) (- , -2) or (-2, )D) (- , )Answer: B89) f(x) 5x3, g(x) x-5x 7A) (- , -7) or (5, )B) (- , )C) (- , -5) or (-5, 7) or (7, )D) (- , -7) or (-7, 5) or (5, )Answer: D90) f(x) 3x2 6, g(x) 4x3 10A) (0, )B) (- , 0)C) (- , 0) or (0, )D) (- , )Answer: DFind the requested value.91) f(x) 5x2 - 6x 6, g(x) 7x - 8Find f(3) g(3).A) 72B) 88C) -44D) 46Answer: D92) f(x) -2x2 - 1, g(x) x - 3Find f(-5) - g(-5).A) -53B) -43C) -49D) 56Answer: B39
93) f(x) 4x 2, g(x) -3x2 - 2x 2fFind(-5).gA) -27B)2263C)1867D)27Answer: D94) f(x) x 4, g(x) x - 1Find (f g)(3).A) 9B) 1C) 3D) 11Answer: A95) f(x) 2x2 4, g(x) x - 4Find (f - g)(3).A) 15B) -25C) 29D) 23Answer: D96) f(x) x 4, g(x) 3x2 11x - 6Find (fg)(-5).A) -14B) 36C) -126D) -621Answer: A97) f(x) 4x - 7, g(x) 3x2 14x 5fFind(-5).gA) -313B) -2710C)310D) 4Answer: B40
Use the graph to find the value.y10f5-5510 xg98) (f g)(-4)A) 8B) -20C) 4D) -4Answer: A99) (f - g)(6)A) -6B) 2C) 6D) -2Answer: B100) (fg)(6)A) -6B) 8C) 6D) -8Answer: B101)f(3)gA) -17B) 7C) - 71D)7Answer: C41
Solve the problem.102) A firm making toaster ovens finds that the total cost, C(x), of producing x units is given byC(x) 45x 390.The revenue, R(x), from selling x units is determined by the price per unit times the number of units sold, thusR(x) 55x.Find and interpret (R - C)(52).A) 5590 profit, income exceeds costB) 130 profit, income exceeds costC) - 130 loss, cost exceeds incomeD) 91 profit, income exceeds costAnswer: B103) A firm making microwave ovens finds that the total cost, C(x), of producing x units is given byC(x) 60x 790.The revenue, R(x), from selling x units is determined by the price per unit times the number of units sold, thusR(x) 70x.Find and interpret (R - C)(71).A) 80 profit, income exceeds costB) 150 profit, income exceeds costC) 10,020 profit, income exceeds costD) - 80 loss, cost exceeds incomeAnswer: D104) A firm is considering a new product. The accounting department estimates that the total cost, C(x), of producingx units will beC(x) 60x 5470.The sales department estimates that the revenue, R(x), from selling x units will beR(x) 70x,but that no more than 333 units can be sold at that price. Find and interpret (R - C)(333).A) 48,760 profit, income exceeds costIt is worth it to develop product.B) 2140 profit, income exceeds costIt is worth it to develop product.C) - 2140 loss, cost exceeds incomeIt's not worth it to develop product.D) 880 profit, income exceeds costIt is worth it to develop product.Answer: C42
105) A firm is considering a new product. The accounting department estimates that the total cost, C(x), of producingx units will beC(x) 100x 7700.The sales department estimates that the revenue, R(x), from selling x units will beR(x) 110x,but that no more than 894 units can be sold at that price. Find and interpret (R - C)(894).A) 1664 profit, income exceeds costIt is worth it to develop product.B) 1240 profit, income exceeds costIt is worth it to develop product.C) 195,440 profit, income exceeds costIt is worth it to develop product.D) - 1240 loss, cost exceeds incomeIt is not worth it to develop product.Answer: B106) The function f(t) -0.15t2 0.5t 30.3 models a certain country's population in millions, ages 65 and older,where t represents years after 2010. The function g(t) 0.56t2 11.32t 106.1 models the total yearly cost of thegovernment's health insurance program in billions of dollars, where t represents years after 2010. What does theggfunction represent? Find(15).ffA) Cost per person in thousands of dollars. 0.18 thousandB) Cost per person in thousands of dollars. 7.17 thousandC) Cost per person in thousands of dollars. 99.23 thousandD) Cost per person in thousands of dollars. 0.01 thousandAnswer: CUse intercepts and a checkpoint to graph the linear function.107) x 5y 10y105-10-5510x-5-1043
A) (0, 2), (-10, 0)y105-10-5510x510x510x510x-5-10B) (0, -10), (10, 0)y105-10-5-5-10C) (0, 2), (10, 0)y105-10-5-5-10D) (0, 2), (-2, 0)y105-10-5-5-10Answer: C44
108) 4x - 20y 8y105-10-5510x-5-10A) 0, -2, (-2, 0)5y105-10-5510x510x-5-10B) 0, -2, (2, 0)5y105-10-5-5-1045
C) (0, 2), -2,05y105-10-5510x510x-5-10D) 0,2, (-2, 0)5y105-10-5-5-10Answer: B109) x - 2y -10y105-10-5510x-5-1046
A) (0, 5), (10, 0)y105-10-5510x510x510x510x-5-10B) (0, 5), (-5, 0)y105-10-5-5-10C) (0, -10), (10, 0)y105-10-5-5-10D) (0, 5), (-10, 0)y105-10-5-5-10Answer: D47
110) 6x - 18y 36y105-10-5510x-5-10A) (0, -2), (-6, 0)y105-10-5510x510x510x-5-10B) (0, -6), (2, 0)y105-10-5-5-10C) (0, 6), (-2, 0)y105-10-5-5-1048
D) (0, -2), (6, 0)y105-10-5510x10x-5-10Answer: D111) -2x - 8y 8y105-10-5510x-5-10A) (0, -1), (4, 0)y105-10-55-5-1049
B) (0, -4), (-1, 0)y105-10-5510x510x510x-5-10C) (0, -1), (-4, 0)y105-10-5-5-10D) (0, 4), (1, 0)y105-10-5-5-10Answer: C50
112) y -1x 22y105-10-5510x-5-10A) (0, -4), (4, 0)y105-10-5510x510x510x-5-10B) (0, 2), (-4, 0)y105-10-5-5-10C) (0, 2), (-2, 0)y105-10-5-5-1051
D) (0, 2), (4, 0)y105-10-5510x10x-5-10Answer: B113) y 1x 23y105-10-5510x-5-10A) (0, 2), (-6, 0)y105-10-55-5-1052
B) (0, -6), (6, 0)y105-10-5510x510x510x-5-10C) (0, 2), (6, 0)y105-10-5-5-10D) (0, 2), (-2, 0)y105-10-5-5-10Answer: C53
114) -2x - 6y 12y105-10-5510x-5-10A) (0, -2), (-6, 0)y105-10-5510x510x510x-5-10B) (0, -6), (-2, 0)y105-10-5-5-10C) (0, -2), (6, 0)y105-10-5-5-1054
D) (0, 6), (2, 0)y105-10-5510x10x-5-10Answer: A115) 5x - 15y 30y105-10-5510x-5-10A) (0, -2), (-6, 0)y105-10-55-5-1055
B) (0, -6), (2, 0)y105-10-5510x510x510x-5-10C) (0, 6), (-2, 0)y105-10-5-5-10D) (0, -2), (6, 0)y105-10-5-5-10Answer: D56
116) 50x 20y 100y105-10-5510x-5-10A) (0, 5), (-2, 0)y105-10-5510x510x510x-5-10B) (0, -5), (-2, 0)y105-10-5-5-10C) (0, -5), (2, 0)y105-10-5-5-1057
D) (0, 5), (2, 0)y105-10-5510x-5-10Answer: DFind the slope of the line that goes through the given points.117) (-2, 1), (6, 2)1A)8B)34C) 8D) -18Answer: A118) (-7, -3), (-7, -9)A) Undefined3B) 7C) 06D)7Answer: A119) (-5, -1), (3, -1)A) 11B) 4C) UndefinedD) 0Answer: D58
120) (11, -13), (13, 5)1A)9B) - 9C) 91D) 3Answer: C121) (7, 9), (2, -5)2A) 7B)514C)145D) -72Answer: C122) (-8, -5), (4, -5)A) -2B) 2C) 1D) 0Answer: D4123) (3, -4) and ( , -1)5A) -1115B) -1511C)1115D)2511Answer: B44124) ( , -5) and ( , 5)55A) Undefined8B) 25C) -258D) 0Answer: A59
Find the slope of the line.125)y105-10-5510x510x-5-10A)23B)32C) -23D) -32Answer: D126)y105-10-5-5-10A) 7B) 0C) 5D) undefinedAnswer: D60
127)y105-10-5510x-5-10A) -8B) 3C) 0D) undefinedAnswer: CSolve for k if the line through the two given points is to have the given slope.1128) (-4, 4) and (1, k), m 5A) k 5B) k -5C) k - 29D) k 29Answer: ARewrite the given equation in slope-intercept form by solving for y.129) x y 9A) y x - 9B) y -x 9C) y -x - 9D) y x 9Answer: B130) 4x y 811A) y x 28B) y 4x 81C) y - x 24D) y -4x 8Answer: D61
131) 6x - 5y 30A) y 6x 305B) y x 566x 65C) y D) y 6x-65Answer: D132) -x 9y 991A) y - x 119B) y -x 99C) y 9x - 991D) y x 119Answer: DFind the slope and the y-intercept of the line.55133) y - x 42A) m 55; b 42B) m -45; b 52C) m -55; b 24D) m -55; b 42Answer: D134) y -6xA) m 0; b -6B) m 6; b 0C) m -6; b 01D) m - ; b 06Answer: C135) f(x) 4xA) m -4; b 01B) m ; b 04C) m 4; b 0D) m 0; b 4Answer: C62
136) f(x) 1x2A) m 2; b 01B) m - ; b 02C) m 0; b D) m 121; b 02Answer: D137) 2x 5y 252A) m ; b 55B) m -2; b -55C) m -2; b 55D) m 5; b -52Answer: C138) 2y 5x - 3A) m B) m 53; b 22C) m D) m 53; b 2223; b 5253; b 22Answer: B139) 3y - 4x -13413A) m - ; b 33B) m -313; b 43C) m 413; b 33D) m 413; b 33Answer: D63
140) -4y 5x -35535A) m ; b 44B) m 535; b 44C) m -535; b 44D) m -435; b 54Answer: B141) x 2y 5A) m 15; b 22B) m -15; b 22C) m 2; b 5D) m 2; b -52Answer: A142) x y - 7 0A) m 0; b 7B) m 1; b 7C) m -1; b -7D) m -1; b 7Answer: D143) 5x y - 7 0A) m 5; b 751B) m ; b 77C) m -5; b 717D) m - ; b 55Answer: C144) x 14y -1 011A) m ;b 1414B) m -11;b 1414C) m -14; b 14D) m 1; b 1Answer: B64
145) -x 12y - 36 01A) m ;b 312B) m -1; b 36C) m 12; b -361D) m ;b 312Answer: D146) 10x - 4y - 40 0A) m 10; b 405B) m ; b -102C) m 2;b 45D) m -5; b 102Answer: BUse the slope and y-intercept to graph the linear function.147) y -3xy5-55x-5A)y5-55x-565
B)y5-55x5x5x-5C)y5-5-5D)y5-5-5Answer: B66
148) f(x) 1x4y5-55x-5A)y5-55x5x5x-5B)y5-5-5C)y5-5-567
D)y5-5x5-5Answer: C149) 7x 5y 0y105-10-5510x-5-10A)y105-10-5510x-5-1068
-10-5-5-10Answer: C69
150) 7x - 5y 105-10-5-5-10C)y105-10-5-5-1070
D)y105-10-5510x10x-5-10Answer: C151) -5x 8y 0y105-10-5510x-5-10A)y105-10-55-5-1071
-10-5-5-10Answer: D72
152) f(x) 2x - 2y5-55x-5A)y5-55x5x5x-5B)y5-5-5C)y5-5-573
D)y5-55x-5Answer: A153) g(x) -3x 1y5-55x-5A)y5-55x-574
B)y5-55x5x5x-5C)y5-5-5D)y5-5-5Answer: C75
154) h(x) 3x 15y5-55x-5A)y5-55x5x5x-5B)y5-5-5C)y5-5-576
D)y5-55x-5Answer: B155) h(x) -2x-35y5-55x-5A)y5-55x-577
B)y5-55x5x5x-5C)y5-5-5D)y5-5-5Answer: B78
156) -x 5y y105-10-5-5-10C)y105-10-5-5-1079
D)y105-10-5510x10x-5-10Answer: A157) 8x - 4y 32y105-10-5510x-5-10A)y105-10-55-5-1080
-10-5-5-10Answer: AGraph the equation in the rectangular coordinate system.81
158) x 55y4321-5-4-3-2-11235 x4-1-2-3-4-5A)5y4321-5-4-3-2-112345 x12345 x-1-2-3-4-5B)5y4321-5-4-3-2-1-1-2-3-4-582
C)5y4321-5-4-3-2-112345 x12345 x-1-2-3-4-5D)5y4321-5-4-3-2-1-1-2-3-4-5Answer: C159) y -15y4321-5-4-3-2-112345 x-1-2-3-4-583
A)5y4321-5-4-3-2-112345 x12345 x12345 4-3-2-1-1-2-3-4-584
D)5y4321-5-4-3-2-112345 x-1-2-3-4-5Answer: B160) f(x) 25y4321-5-4-3-2-11235 x4-1-2-3-4-5A)5y4321-5-4-3-2-112345 x-1-2-3-4-585
B)5y4321-5-4-3-2-112345 x12345 x12345 4-3-2-1-1-2-3-4-5Answer: B86
161) 4y -85y4321-5-4-3-2-11235 x4-1-2-3-4-5A)5y4321-5-4-3-2-112345 x12345 x-1-2-3-4-5B)5y4321-5-4-3-2-1-1-2-3-4-587
C)5y4321-5-4-3-2-112345 x12345 x-1-2-3-4-5D)5y4321-5-4-3-2-1-1-2-3-4-5Answer: A162) 4x 205y4321-5-4-3-2-112345 x-1-2-3-4-588
A)5y4321-5-4-3-2-112345 x12345 x12345 4-3-2-1-1-2-3-4-589
D)5y4321-5-4-3-2-11235 x4-1-2-3-4-5Answer: B163) 8y 24y105-10-5510x-5-10A)y105-10-5510x-5-1090
-10-5-5-10Answer: D91
164) -3x - 7 y105-10-5-5-10C)y105-10-5-5-1092
D)y105-10-5510x-5-10Answer: CFind the slope then describe what it means in terms of the rate of change of the dependent variable per unit change in theindependent variable.165) The linear function f(x) 2.3x 20 represents the percentage of people, f(x), who graduated from college x yearsafter 1998.A) m -2.3; the percentage of people graduating from college has decreased at a rate of 2.3% per year after1998.B) m 2.3; the percentage of people graduating from college has increased at a rate of 2.3% per year after1998.C) m 2.3; the percentage of people graduating from college has decreased at a rate of 2.3% per year after1998.D) m 20; the percentage of people graduating from college has increased at a rate of 20% per year after1998.Answer: B166) The linear function f(x) -7.4x 35 models the percentage of people, f(x), who eat at fast food restaurants eachweek x years after 1998.A) m 35; the percentage of people eating at fast food restaurants each week has increased at a rate of -7.4%per year after 1998.B) m -7.4; the percentage of people eating at fast food restaurants each week has decreased at a rate of-7.4% per year after 1998.C) m 7.4; the percentage of people eating at fast food restaurants each week has increased at a rate of 7.4%per year after 1998.D) m 7.4; the percentage of people eating at fast food restaurants each week has increased at a rate of -7.4%per year after 1998.Answer: B93
Solve the problem.167) From April through December, the stock price of QRS Company had a roller coaster ride. The chart belowindicates the price of the stock at the beginning of each month during that period. Find the monthly averagerate of change in price between April and December.Stock Price of QRS Company from April through December140y130120(1, 114)110Price(dollars)10090807060(9, 64)50401234AprMayJunJul5AugMonthA) 5.56 per monthB) - 6.25 per monthC) - 5.56 per monthD) 6.25 per monthAnswer: B946789SepOctNovDecx
168) From April through December, the stock price of QRS Company had a roller coaster ride. The chart belowindicates the price of the stock at the beginning of each month during that period. Find the monthly averagerate of change in price between June and September.Stock Price of QRS Company from April through December140y130120(6, 111)110Price(dollars)10090(3, 89)80706050401234AprMayJunJul5AugMonthA) 11.00 per monthB) - 7.33 per monthC) - 11.00 per monthD) 7.33 per monthAnswer: D956789SepOctNovDecx
169) The total individual income tax collected by the tax collecting body of a country is a function of the number ofpeople working, their income, and the tax rates. It has increased each year since 1985. The table below showsthe individual income tax collected (in billions) for the time period between 1985 and 2010. Find the averageannual rate of change between 1995 and 2005.Individual Income Tax Collected (in billions)y700600(2005, 542)500Tax Collected 400(billions)(1995, 292)30020010019851990199520002005YearA) 25 billion per yearB) 34.1 billion per yearC) 37.8 billion per yearD) 38.3 billion per yearAnswer: A962010x
170) Along with incomes, people's charitable contributions have steadily increased over the past few years. The tablebelow shows the average deduction for charitable contributions reported on individual income tax returns forthe period 2007 to 2012. Find the average annual increase between 2009 and 2011.Average Deduction for Charitable Contributionsy40003500CharitableContributions 3000(dollars)A(2009, 2470)BB(2011, 3060)2500A20001500200720082009201020112012 xYearA) 335 per yearB) 295 per yearC) 315 per yearD) 590 per yearAnswer: B171) The price of a certain commodity is a function of supply and demand. The table below shows the price of thecommodity per barrel between 2005 and 2010. Find the average annual rate of change between 2006 and 2008.Price of the Commodity per Barrely5040Price 30(dollars)(2006, 24)2010(2008, 12)20052006200720082009YearA) - 12.00 per yearB) 2.50 per yearC) - 6.00 per yearD) 6.00 per yearAnswer: C972010x
172) The price of a certain commodity is a function of supply and demand. The table below shows the price of thecommodity per barrel between 2005 and 2010. Find the average annual rate of change between 2008 and 2010.Price of the Commodity per Barrely5040(2010, 34)Price(dollars)302010(2008, 11)200520062007200820092010xYearA) 2.50 per yearB) - 11.50 per yearC) 23.00 per yearD) 11.50 per yearAnswer: D173) A truck rental company rents a moving truck one day by chargin
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the domain and range. 1){(5,3), (-11,-8), (-1,9), (6,-7 .
