DOWNLOADgTHEgTestgBankgforgPrecalculusgEnhancedgwithgGraphinggUtilities
8thgEditiongSullivan
Ch.g2 FunctionsgandgTheirgGraphs
2.1 Functions
1 Determineg Whetherg ag Relationg Representsg ag Function
MULTIPLEg CHOICE.g Chooseg theg oneg alternativeg thatg bestg completesg theg statementg org answersg theg question.
Determineg whetherg theg relationg representsg ag function.g Ifg itg isg ag function,g stateg theg domaing andg range.
1)
4g →g g 8
9g →g 18
14g →g 28
19g →g 38
A) function B) function C) notgag function
domain:g {4,g9,g 14,g19 domain:{8,g 18,g 28,g38
} }
range:g {8,g18,g28,g38} range:g {4,g 9,g 14,g 19}
2)
Alice snake
gBra gcatgd
dgCa og
rl
A) function B) function C) notgag function
domain:g{Alice,gBrad,gCarl domain:g{snake,gcat,gdog
}grange:g{snake,gcat,gdog} }grange:g {Alice,gBrad,g Ca
rl}
3)
Alice catg
gBra dog
dgCa
rl
range:g {11,g6
A) function B) function
,g2,g18}
domain:g{Alice,gBrad,gCarl}gr domain:g{cat,gdog}g range:g{Alice,gBr
ange:g{cat,gdog} ad,gCarl}
4)g {(-3,g-6),g(0,g5),g(5,g-5),g(7,g-1)}
A) function B)g function
domain:g {-3,g 0,g 5,g 7} domain:g {-6,g5,g-5,g-1}
range:g {-6,g 5,g-5,g-1} range:g {-3,g 0,g 5,g 7}
5)g {(19,g -2),g (3,g-
1),g (3,g 0),g (4,g 1),g (12,g 3)} B) function
A) function domain:g {-2,g -1,g 0,g 1,g 3}
domain:g {19,g 4,g 3,g12} range:g {19,g4,g 3,g 12}
range:g{-2,g-1,g0,g 1,g3}
6)g {(-3,g11),g (- B) function
2,g6),g (0,g2),g (2,g6),g (4,g18)} domain:g {11,g 6,g2,g 18}
A) function range:g {-3,g -2,g 0,g 2,g 4}
domain:g {-3,g -2,g 0,g 2,g 4}
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C) notgag function
C)g notgag function
C)g notgag function
C) notgag function
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3g g
8thgEditiongSullivan
7)g {(7.55,g15.75),g (7.555,g -15.7),g (g ,g 0),g (0.43,g -7)}
7g
A) function B) function C) notgag function
g3g
domain:g {7.55,g7.555,g ,g 0.4 domain:g {15.75,g -15.7,g 0,g -
7}
3} g3g
7 range:g {7.55,g7.555,g ,g0.43
range:g {15.75,g -15.7,g 0,g -7} }
7
Determineg whetherg theg equationg definesg yg asg ag functiong ofg x.
8) yg =gx2
A) function B)g notgag function
g1
9) yg =g
x
A) function B)g notgag function
10) yg =g|x|
A) function B)g notgag function
11) y2g=g4g-gx2
A) function B)g notgag function
12) yg=g± 1g-g4x
A) function B)g notgag function
13) xg=gy2
A) function B)g notgag function
14) y2g+gxg=g7
A) function B)g notgag function
15) yg =g5x2g-g2xg +g9
A) function B)g notgag function
g5xg-g3
16) yg=g
xg-g1
A)g function B)g notgag function
17) x2g +g3y2g=g1
A) function B)g notgag function
18) xg+g5yg =g3
A) function B)g notgag function
19) -9xg+gx2g+g32g=gy
A) function B)g notgag function
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2 Findg theg Valueg ofg ag Functio
n
MULTIPLEg CHOICE.g Chooseg theg oneg alternativeg thatg bestg completesg theg statementg org answersg theg question.
Findg theg valueg forg theg function.
1) Findgf(-2)gwhengf(x)g=gx2g-g4xg-g6.
A) 6 B)g18 C)g 2 D)g -10
x2g-g8g
2) Findgf(-1)gwhengf(x)g=g .
xg-g3
g7 g9 g1 g9
A) 4 B) -g C) -g D) -g
4 4 2
3) Findg f(-9)g wheng f(x)g =g |x|-g 6.
A) 3 B)g-15 C)g15 D)g-3
4) Findg f(0)g wheng f(x)g = x2g+g6x.
A) 0 B)g 6 C) 42 D) 6
5) Findgf(-x)gwhengf(x)g=g3x2g-g3xg-g1.
A) 3x2g +g3xg-g1 B)g-3x2g+g3xg+g1 C)g 3x2g+g3xg+g1 D)g -3x2g +g 3xg-g1
g g x
6) Findgf(-x)gwhengf(x)g =g .
x2g+g7
g g -xg g g -xg x g g -x
A) 2g B) 2g C) D)
x +g7 x -g7 -x2g+g7 -x2g+g7
7) Findg-f(x)gwhengf(x)g =g-2x2g-g4xg-g5.
A) 2x2g+g4xg+g5 B)g-2x2g +g 4xg-g5 C)g-2x2g+g4xg+g5 D)g 2x2g+g4xg-g5
8) Findg-f(x)gwhengf(x)g=g|x|g-g6.
A) -|x|g+g 6 B)g|-x|g-g6 C)g-|x|g-g6 D)g|-x|g+g6
9) Findg f(xg -g 1)g wheng f(x)g =g 2x2g -g 4xg +g 5.
A) 2x2g-g8xg+g11 B)g-8x2g+g2xg+g11 C)g 2x2g-g8xg+g3 D)g 2x2g+g6xg+g3
x2g-g2g
10) Findgf(xg+g1)gwhengf(x)g=g .
xg+g4
x2g+g2xg- x2g+g2xg+ x2g+g2xg- x2g-g1
A) g1 B) g3 C) g1 D) xg+g5
xg+g5 xg+g5 xg-g3
11) Findg f(2x)g wheng f(x)g =g -3x2g +g 3xg -g 4.
A) -12x2g+g6xg-g4 B)g-6x2g+g6xg-g4 C)g-6x2g+g6xg-g8 D)g-12x2g+g6xg-g8
12) Findg f(2x)g wheng f(x)g = 5x2g+g7x.
A) 20x2g+g14 B) 2 5x2g +g7 C) 10x2g+g14 D) 10x2g+g28
x x x x
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8thgEditiongSullivan
Ch.g2 FunctionsgandgTheirgGraphs
2.1 Functions
1 Determineg Whetherg ag Relationg Representsg ag Function
MULTIPLEg CHOICE.g Chooseg theg oneg alternativeg thatg bestg completesg theg statementg org answersg theg question.
Determineg whetherg theg relationg representsg ag function.g Ifg itg isg ag function,g stateg theg domaing andg range.
1)
4g →g g 8
9g →g 18
14g →g 28
19g →g 38
A) function B) function C) notgag function
domain:g {4,g9,g 14,g19 domain:{8,g 18,g 28,g38
} }
range:g {8,g18,g28,g38} range:g {4,g 9,g 14,g 19}
2)
Alice snake
gBra gcatgd
dgCa og
rl
A) function B) function C) notgag function
domain:g{Alice,gBrad,gCarl domain:g{snake,gcat,gdog
}grange:g{snake,gcat,gdog} }grange:g {Alice,gBrad,g Ca
rl}
3)
Alice catg
gBra dog
dgCa
rl
range:g {11,g6
A) function B) function
,g2,g18}
domain:g{Alice,gBrad,gCarl}gr domain:g{cat,gdog}g range:g{Alice,gBr
ange:g{cat,gdog} ad,gCarl}
4)g {(-3,g-6),g(0,g5),g(5,g-5),g(7,g-1)}
A) function B)g function
domain:g {-3,g 0,g 5,g 7} domain:g {-6,g5,g-5,g-1}
range:g {-6,g 5,g-5,g-1} range:g {-3,g 0,g 5,g 7}
5)g {(19,g -2),g (3,g-
1),g (3,g 0),g (4,g 1),g (12,g 3)} B) function
A) function domain:g {-2,g -1,g 0,g 1,g 3}
domain:g {19,g 4,g 3,g12} range:g {19,g4,g 3,g 12}
range:g{-2,g-1,g0,g 1,g3}
6)g {(-3,g11),g (- B) function
2,g6),g (0,g2),g (2,g6),g (4,g18)} domain:g {11,g 6,g2,g 18}
A) function range:g {-3,g -2,g 0,g 2,g 4}
domain:g {-3,g -2,g 0,g 2,g 4}
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C) notgag function
C)g notgag function
C)g notgag function
C) notgag function
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3g g
8thgEditiongSullivan
7)g {(7.55,g15.75),g (7.555,g -15.7),g (g ,g 0),g (0.43,g -7)}
7g
A) function B) function C) notgag function
g3g
domain:g {7.55,g7.555,g ,g 0.4 domain:g {15.75,g -15.7,g 0,g -
7}
3} g3g
7 range:g {7.55,g7.555,g ,g0.43
range:g {15.75,g -15.7,g 0,g -7} }
7
Determineg whetherg theg equationg definesg yg asg ag functiong ofg x.
8) yg =gx2
A) function B)g notgag function
g1
9) yg =g
x
A) function B)g notgag function
10) yg =g|x|
A) function B)g notgag function
11) y2g=g4g-gx2
A) function B)g notgag function
12) yg=g± 1g-g4x
A) function B)g notgag function
13) xg=gy2
A) function B)g notgag function
14) y2g+gxg=g7
A) function B)g notgag function
15) yg =g5x2g-g2xg +g9
A) function B)g notgag function
g5xg-g3
16) yg=g
xg-g1
A)g function B)g notgag function
17) x2g +g3y2g=g1
A) function B)g notgag function
18) xg+g5yg =g3
A) function B)g notgag function
19) -9xg+gx2g+g32g=gy
A) function B)g notgag function
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2 Findg theg Valueg ofg ag Functio
n
MULTIPLEg CHOICE.g Chooseg theg oneg alternativeg thatg bestg completesg theg statementg org answersg theg question.
Findg theg valueg forg theg function.
1) Findgf(-2)gwhengf(x)g=gx2g-g4xg-g6.
A) 6 B)g18 C)g 2 D)g -10
x2g-g8g
2) Findgf(-1)gwhengf(x)g=g .
xg-g3
g7 g9 g1 g9
A) 4 B) -g C) -g D) -g
4 4 2
3) Findg f(-9)g wheng f(x)g =g |x|-g 6.
A) 3 B)g-15 C)g15 D)g-3
4) Findg f(0)g wheng f(x)g = x2g+g6x.
A) 0 B)g 6 C) 42 D) 6
5) Findgf(-x)gwhengf(x)g=g3x2g-g3xg-g1.
A) 3x2g +g3xg-g1 B)g-3x2g+g3xg+g1 C)g 3x2g+g3xg+g1 D)g -3x2g +g 3xg-g1
g g x
6) Findgf(-x)gwhengf(x)g =g .
x2g+g7
g g -xg g g -xg x g g -x
A) 2g B) 2g C) D)
x +g7 x -g7 -x2g+g7 -x2g+g7
7) Findg-f(x)gwhengf(x)g =g-2x2g-g4xg-g5.
A) 2x2g+g4xg+g5 B)g-2x2g +g 4xg-g5 C)g-2x2g+g4xg+g5 D)g 2x2g+g4xg-g5
8) Findg-f(x)gwhengf(x)g=g|x|g-g6.
A) -|x|g+g 6 B)g|-x|g-g6 C)g-|x|g-g6 D)g|-x|g+g6
9) Findg f(xg -g 1)g wheng f(x)g =g 2x2g -g 4xg +g 5.
A) 2x2g-g8xg+g11 B)g-8x2g+g2xg+g11 C)g 2x2g-g8xg+g3 D)g 2x2g+g6xg+g3
x2g-g2g
10) Findgf(xg+g1)gwhengf(x)g=g .
xg+g4
x2g+g2xg- x2g+g2xg+ x2g+g2xg- x2g-g1
A) g1 B) g3 C) g1 D) xg+g5
xg+g5 xg+g5 xg-g3
11) Findg f(2x)g wheng f(x)g =g -3x2g +g 3xg -g 4.
A) -12x2g+g6xg-g4 B)g-6x2g+g6xg-g4 C)g-6x2g+g6xg-g8 D)g-12x2g+g6xg-g8
12) Findg f(2x)g wheng f(x)g = 5x2g+g7x.
A) 20x2g+g14 B) 2 5x2g +g7 C) 10x2g+g14 D) 10x2g+g28
x x x x
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