m m m m m m m m m
8th Edition Sullivan m m
Ch.m2 FunctionsmandmTheirmGraphs
2.1 Functions
1 Determinem Whetherm am Relationm Representsm am Function
MULTIPLEm CHOICE.m Choosem them onem alternativem thatm bestm completesm them statementm orm answersm them quest
ion.mDeterminem whetherm them relationm representsm am function.m Ifm itm ism am function,m statem them domainm andm range.
1)
4m →mmm 8
9m →m 18
14m →m 28
19m →m 38
A) function B) function C) notmam function
domain:m {4,m9,m 14,m1 domain:{8,m18,m 28,m3
9} 8}
range:m {8,m 18,m28,m 3 range:m {4,m9,m14,m 19}
8}
2)
Alice snake
mBra mcatmd
dmCa og
rl
A) function B) function C) notmam function
domain:m{Alice,mBrad,mCar domain:m{snake,mcat,mdo
l}mrange:m{snake,mcat,mdog} g}mrange:m {Alice,m Brad,m C
arl}
3)
Alice catm
mBra dog
dmCa
rl
domain:m
A) function B) function
{-m3,m -
domain:m{Alice,mBrad,mCarl}mr domain:m {cat,m dog}mrange:m {Alice,mBrad,m
m2,m 0,m 2,m
ange:m{cat,mdog} rl}
4}
range:m {1
4)m {(-m3,m -m6),m (0,m5),m (5,m -m5),m (7,m -m1)}
1,m6,m2,m1
A)m function B)m function
8}
domain:m {-m3,m 0,m 5,m7} domain:m {-m6,m5,m -m5,m -m1}
range:m {-m6,m 5,m-m5,m -m1} range:m {-m3,m0,m 5,m 7}
5)m {(19,m -m2),m (3,m-
m1),m (3,m 0),m (4,m 1),m (12,m3)} B)m function
A)m function domain:m {-m2,m -m1,m 0,m 1,m 3}
domain:m {19,m 4,m 3,m12} range:m {19,m4,m 3,m 12}
range:m {-m2,m-m1,m 0,m 1,m3}
6)m {(-m3,m11),m (- B) function
m2,m 6),m (0,m 2),m (2,m 6),m (4,m18)} domain:m {11,m 6,m2,m 18}
A) function range:m {-m3,m-m2,m 0,m 2,m4}
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m m m m m m m m m
C) notmam function
C)m notm am function
C)m notm am function
C) notmam function
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m m m m m m m m m
3
8th Edition Sullivan m
m m
7)m {(7.55,m15.75),m (7.555,m-m15.7),m (m ,m 0),m (0.43,m -m7)}
7m
A) function B) function C) notmam function
m 3m domain:m {15.75,m -m15.7,m 0,m -
domain:m {7.55,m7.555, ,m 0.
m7}
43} m 3m
7 range:m {7.55,m7.555, ,m0.4
range:m {15.75,m -m15.7,m 0,m -m7} 3}
7
Determinem whetherm them equationm definesm ym asm am functionm ofm x.
8) ym =mx2
A) function B)m notmam function
m 1
9)m ym =
x
A)m function B)m notmam function
10)m ym =m |x|
A)m function B)m notmam function
11)m y2m =m4m -m x2
A)m function B)m notmam function
12)m ym =m± 1m -m 4x
A)m function B)m notmam function
13) xm=my2
A) function B)m notmam function
14)m y2m +mxm=m7
A)m function B)m notmam function
15)m ym =m5x2m -m 2xm +m 9
A)m function B)m notmam function
m 5xm -m 3
16)m ym =
xm-m 1
A)m function B)m notmam function
17)m x2m +m 3y2m =m1
A)m function B)m notmam function
18)m xm+m5ym =m3
A)m function B)m notmam function
19)m -m9xm +mx2m +m 32m =my
A)m function B)m notmam function
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m m m m m m m m m
2 Find the Value of a Functi
8th Edition Sullivan
m m m m m
m m
on
MULTIPLEm CHOICE.m Choosem them onem alternativem thatm bestm completesm them statementm orm answersm them quest
ion.mFindmthemvaluemformthemfunction.
1) Findm f(-m2)m whenm f(x)m =m x2m -m 4xm -m 6.
A)m 6 B)m 18 C)m 2 D)m -m10
x2m -m 8m
2) Findm f(-m1)m whenm f(x)m =m .
xm-m 3
7 m 9 m 1 m 9
A)
m
B)m - C)m - D)m -
4 4 4 2
3) Findm f(-m9)m whenm f(x)m =m |x|-m 6.
A)m 3 B)m -m15 C)m 15 D)m -m3
4) Findm f(0)m whenm f(x)m = x2m +m6x.
A) 0 B)m 6 C) 42 D) 6
5) Findm f(-mx)m whenm f(x)m =m3x2m -m 3xm -m 1.
A)m 3x2m +m 3xm-m 1 B)m -m3x2m +m 3xm +m 1 C)m 3x2m +m3xm +m1 D)m -m3x2m +m 3xm -m 1
6) Findm f(-
mmmmm x
mx)m whenm f(x)m = .
x2m+m7
A) mmmm-mxm B) mmmm-mxm C) m x D) mmmm -mx
x2m+m7 x2m -m 7 -mx2m +m 7 -mx2m +m 7
7) Findm -mf(x)m whenm f(x)m =m -m2x2m -m 4xm -m 5.
A)m 2x2m +m4xm+m 5 B)m -m2x2m +m4xm -m 5 C)m -m2x2m +m 4xm +m 5 D)m 2x2m +m 4xm -m 5
8) Findm -mf(x)m whenm f(x)m =m |x|m -m 6.
A)m -m|x|m+m 6 B)m |-mx|m -m 6 C)m -m|x|m -m 6 D)m |-mx|m +m 6
9) Findm f(xm -m 1)m whenm f(x)m =m 2x2m -m 4xm +m 5.
A)m 2x2m -m 8xm+m 11 B)m -m8x2m +m 2xm +m 11 C)m 2x2m -m 8xm +m3 D)m 2x2m +m6xm+m3
x2m -m 2m
10) Findm f(xm +m 1)m whenm f(x)m =m .
xm+m4
x2m+m2xm- x2m+m2xm+ x2m +m2xm - x2m -m 1
A)m B)m C)m D)m
m1 m3 m1 xm+m
xm+m5 xm+m5 xm-m 3 5
11) Findm f(2x)m whenm f(x)m =m -m3x2m +m 3xm -m 4.
A)m -m12x2m +m6xm -m 4 B)m -m6x2m +m 6xm -m 4 C)m -m6x2m +m 6xm -m 8 D)m -m12x2m +m6xm -m 8
12) Findm f(2x)m whenm f(x)m = 5x2m +m 7x.
A) 20x2m +m 14 B)m 2 5x2m +m7 C) 10x2m +m14 D) 10x2m +m 28
x x x x
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