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2-precalc unit 1

Total questions: 83

Worksheet time: 7hrs 44mins

Name
Class
Date
1.
What is the parent function for an absolute value function?
a)
f(x)=x3
b)
f(x)=x
c)
f(x)=IxI
d)
f(x)=x2
2.
What is the parent function for a cubic function?
a)
f(x)=x3
b)
f(x)=x
c)
f(x)=IxI
d)
f(x)=x2
3.
Describe the transformation that is applied to the parent function. 
f(x) = IxI -5
a)
Shifts left 5
b)
Shifts right 5
c)
Shifts up 5
d)
Shifts down 5
4.
Describe the transformation that is applied to the parent function. 
f(x) = IxI -5
a)
Shifts left 5
b)
Shifts right 5
c)
Shifts up 5
d)
Shifts down 5
5.
Describe the transformation that is applied to the parent function. 
f(x) =  3 Ix+8I
a)
Stretches by 3, Shifts left 8
b)
Stretches by 3, Shifts right 8
c)
Stretches by 3, Shifts up 8
d)
Stretches by 3, Shifts down 8
6.
Describe the transformation that is applied to the parent function. 
f(x) =  (1/2) Ix-1I -1
a)
Compresses by (1/2), Shifts left 1, down 1
b)
Compresses by (1/2), Shifts right 1, down 1
c)
Compresses by (1/2), Shifts left 1, up 1
d)
Compresses by (1/2), Shifts right 1, up 1
7.
Dale graphed the absolute value parent function. Then,he reflected the graph over the x-axis, shifted it four units to the right and three units up. What is the new equation?
a)
f(x) = Ix+4I +3
b)
f(x) = Ix+4I -3
c)
f(x) = -Ix+3I +4
d)
f(x) = -Ix-4I +3
8.
What is the equation to this graph?
a)
f(x)= Ix+2I +1
b)
f(x)= Ix-2I +1
c)
f(x)= Ix+2I -1
d)
f(x)= Ix-2I -1
9.
What is the range to this graph?
a)
y> 1
b)
y>= 1
c)
y< 1
d)
y<= 1
10.
What is the vertex:
f(x)= -(5/2) Ix-4I ?
a)
(0,4)
b)
(4,2)
c)
(2,4)
d)
(4,0)
11.
If x=2 What is y?
a)
y= -3
b)
y= -6
c)
y=1
d)
y= 2
12.
If x is -8, what is y?
a)
y = -21
b)
y = 1
c)
y = 10
d)
y = 9
13.
Describe how to graph this inequality.
a)
Solid line, shade below
b)
Solid line, shade above
c)
Dashed line, shade below
d)
Dashed line, shade above
14.
Describe how to graph this inequality.
a)
Solid line, shade below
b)
Solid line, shade above
c)
Dashed line, shade below
d)
Dashed line, shade above
15.
What is the value of f(7.5)?
a)
2.5
b)
3
c)
-2.5
d)
2
16.
Which parent function matches the graph?
a)
y = |x|
b)
y = x
c)
y = x2
d)
y = 2x
17.
What type of function is shown?
a)
absolute value
b)
quadratic
c)
linear
d)
exponential
18.
What type of function is shown?
a)
linear
b)
quadratic
c)
square root
d)
absolute value
19.
Which equation below is a quadratic function translated up 5 units?
a)
y = x2 + 5
b)
y = (x + 5)2
c)
y = 5x2
d)
y = -x2 - 5
20.
Which equation below is a quadratic function translated left 4 units?
a)
y = x2 + 4
b)
y = (x + 4)2
c)
y = (x - 4)2
d)
y = 4x2
21.
Describe the transformation
a)
left 2 up 5
b)
right 2 up 5
c)
left 2 down 5
d)
right 2 down 5
22.
Which equation is an absolute value graph shifted right 5 units?
a)
y = |x - 5|
b)
y = |x + 5|
c)
y = |x| + 5
d)
y = -5|x|
23.
a)
Left 2, Down 2, Vertical Stretch
b)
Right 2; Up 1; 
c)
Vertical Stretch; Right 2; Up 1
d)
Left 2; Down 2;
24.
Dale graphed the absolute value parent function. Then,he reflected the graph over the x-axis, shifted it four units to the right and three units up. What is the new equation?
a)
f(x) = Ix+4I +3
b)
f(x) = Ix+4I -3
c)
f(x) = -Ix+3I +4
d)
f(x) = -Ix-4I +3
25.
Name the parent function. 
a)
constant
b)
square root
c)
linear
d)
absolute value
26.
f(x) = 9-3x
g(x) = 5x-7
Find f(x)+g(x). 
a)
14x-10
b)
-8x+2
c)
2x+2
d)
2x-2
27.
f(x) = x2+9
g(x) = x-9
Find f(x)-g(x). 
a)
x2+x+9
b)
x2-x+9
c)
x2-x
d)
x2-x+18
28.
f(x)=x2+1
g(x)=2x-5
Find f(x)-g(x)
a)
x2-2x+6
b)
-x2+2x+4
c)
-x2-2x-6
d)
x2-2x-4
29.
f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)
a)
4x2+24
b)
4x2+20x+24
c)
4x2+12x+24
d)
4x2+4x+24
30.
f(x)=x3-3x
g(x)=-4x+1
Find f(x)*g(x)
a)
-4x3-5x2-3
b)
-4x3+2x2-3x
c)
-4x4+x3+12x2-3x
d)
-4x4-x3+12x2+3x
31.
f(x)=2x+4
g(x)=3x2-1
Find f(x)*g(x)
a)
6x4+12x3-4x2-8x
b)
-6x3+12x2+2x-4
c)
6x3+12x2-2x-4
d)
5x2-18x+20
32.
f(n)=2n+1
g(n)=3n
Find f(n)+g(n)
a)
5n+1
b)
-5n+1
c)
-2n+1
d)
-6n-1
33.
f(n)=n2+4n
g(n)=-n-5
Find f(n)+g(n)
a)
n2+3n-5
b)
-n3+2n-7
c)
n3+3n-3n
d)
n2-3n-5
34.
f(n)=x2+1
g(n)=2x-5
Find f(n)-g(n)
a)
x2-2x+6
b)
-x2+2x+4
c)
-x2-2x-6
d)
x2-2x-4
35.
f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))
a)
19
b)
23
c)
-10
d)
None of these.
36.
f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))
a)
16
b)
4
c)
-4
d)
None of these.
37.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
38.
p(x) = 3x + 4
q(x) = 2x2
Find q(p(-2))
a)
8
b)
-8
c)
28
d)
None of these.
39.
Given
f(x) = 3x2 + 7x and g(x) = 2x2 - x - 1, find (f + g)(x).
a)
11x2 - 1
b)
5x4 + 6x2 - 1
c)
5x2 + 6x - 1
d)
5x2 + 8x - 1
40.
Given that f(x) = x2 + x and g(x) = 3x + 1, find the value of f(g(4)).
a)
182
b)
40
c)
61
d)
None of the Above
41.
Given f(x) = 3x2 + 7x and g(x) = 2x2 - x - 1, find (f + g)(x).
a)
11x2 - 1
b)
5x4 + 6x2 - 1
c)
5x2 + 6x - 1
d)
5x2 + 8x - 1
42.
f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)
a)
4x2+24
b)
4x2+20x+24
c)
4x2+12x+24
d)
4x2+4x+24
43.
f(x) = x2+9
g(x) = x-9
Find f(x)-g(x). 
a)
x2+x+9
b)
x2-x+9
c)
x2-x
d)
x2-x+18
44.
f(x)=3x2+1
g(x)=4x+5
What is (f+g)(2)
a)
13
b)
0
c)
26
d)
6x2+8x+12
45.
h(x)=x2-3x-10,
j(x)=3x-2
What is (h/j)(-2)
a)
-2
b)
undefined
c)
0
d)
1
46.
g(x)=3x+4
h(x)=3x-1
Find g(h(x))
a)
-9x+11
b)
4x2+4x
c)
9x+1
d)
9x+11
47.
When f(x) = 2x and g(x) = x2+3 , find f(g(x)).
a)
x2+2x+3
b)
4x2+3
c)
2x2+3
d)
2x2+6
48.
Given that f(x) = x2 + x and g(x) = 3x + 1, find the value of f(g(4)).
a)
182
b)
40
c)
61
d)
None of the Above
49.
Given f(x) = 3x2 + 7x and g(x) = 2x2 - x - 1, find (f + g)(x).
a)
11x2 - 1
b)
5x4 + 6x2 - 1
c)
5x2 + 6x - 1
d)
5x2 + 8x - 1
50.
f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)
a)
4x2+24
b)
4x2+20x+24
c)
4x2+12x+24
d)
4x2+4x+24
51.
f(x) = x2+9
g(x) = x-9
Find f(x)-g(x). 
a)
x2+x+9
b)
x2-x+9
c)
x2-x
d)
x2-x+18
52.
g(x)=3x+4
h(x)=3x-1
Find g(h(x))
a)
-9x+11
b)
4x2+4x
c)
9x+1
d)
9x+11
53.
Who is this?
a)
spongebob
b)
gary
c)
bob
d)
patric
54.
Who is this?
a)
nemo
b)
marlin
c)
coral
55.
Who is this?
a)
mario
b)
luigi
c)
peach
d)
bowser
56.

Find f(2).

a)

-2

b)

-18

c)

24

d)

6

57.

Find g(5)

a)

3375

b)

375

c)

25

d)

45

58.

f(g(x))

a)

3x - 16

b)

3x - 2

c)

3x - 26

d)

4x - 2

59.

Are the relations inverses?

a)

yes

b)

no

60.

Are the relations inverses?

a)

yes

b)

no

61.

Are the relations inverses?

a)

yes

b)

no

62.

Are the graphs inverses?

a)

yes

b)

no

63.

Are the graphs inverses?

a)

yes

b)

no

64.

Are the graphs inverses?

a)

yes

b)

no

65.

Are the graphs inverses?

a)

yes

b)

no

66.

Which of the following points are part of the inverse? Select ALL that apply!

a)

(2,3)

b)

(1,4)

c)

(-8,0)

d)

(-2,5)

e)

(4,-1)

67.

What is the DOMAIN of the INVERSE function?

a)

{-7, -2, -1, 1, 4}

b)

{-6, -3, -2, 0, 3}

c)

{-3, 0, 2, 3, 6}

d)

{-4, -1, 1, 2, 7}

68.

What is the RANGE of the INVERSE function?

a)

{-5, 1, 3, 4}

b)

{-4, -3, -1, 5}

c)

{-4, -2, 0, 7}

d)

{-7, 0, 2, 4}

69.

TRUE OR FALSE:

If the DOMAIN of a function is (-∞, 2], then the DOMAIN of the INVERSE function will also be (-∞, 2].

a)

false

b)

true

70.

TRUE OR FALSE:

If the RANGE of a function is (4, 2], then the DOMAIN of the INVERSE function will also be (4, 2].

a)

false

b)

true

71.

Here is the domain and range for a function:

D: (-∞, ∞)

R: [3, ∞)


What is the domain and range of the inverse?

a)

D: [3, ∞)

R: (-∞, ∞)

b)

D: (-∞, ∞)

R: [3, ∞)

72.

What is the inverse quadratic function?

a)

f-1(x) = x2

b)

f-1(x) = ±√x

c)

f-1(x) = -x2

d)

It doesn't have an inverse.

73.

How do you find an inverse?

a)

Switch x and y

b)

Flip the signs on all the x-values

c)

Flip the signs on all the y-values

d)

Do nothing

74.
What does it mean to find the inverse of a function?
a)
the x's and y's are switched
b)
the x's and y's are divided by 2
c)
the x's and y's are made negative
d)
the x's and y's are the same
75.

What is the FIRST step I need to take to solve for x in the following equation?

a)

Add 9 to both sides

b)

Take the square root of both sides

c)

Divide both sides by 49

d)

Multiply both sides by 9

76.
What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)
a)
(1, 2) (3, 8) (-3, 6)
b)
(1, 2) (8, 3) (-3, 6)
c)
(-1, -2) (-3, -8) (3, -6)
d)
(2, 1) (8, 3) (6, -3)
77.
Find the inverse of f(x) = -4x - 12
a)
f-1(x) = 4x - 3
b)
f-1(x) = -1/4x - 3
c)
f-1(x) = 1/4x + 3
d)
f-1(x) = -4x - 3
78.
Find the inverse of f(x) = x2 - 5
a)
f-1(x) = √(x) + 5
b)
f-1(x) = ∛(x-5)
c)
f-1(x) =√(x+5)
d)
f-1(x) = x2 - 5
79.
Find the inverse 
f(x)= (x-2)5+3
a)
5√(x-3) +2
b)
-2+x5
c)
(x+1)5+3
d)
5√(x+2)-3
80.

Here is the domain and range for a function:

D: (-∞, ∞)

R: [3, ∞)


What is the domain and range of the inverse?

a)

D: [3, ∞)

R: (-∞, ∞)

b)

D: (-∞, ∞)

R: [3, ∞)

81.

What is the DOMAIN of the INVERSE function?

a)

{-7, -2, -1, 1, 4}

b)

{-6, -3, -2, 0, 3}

c)

{-3, 0, 2, 3, 6}

d)

{-4, -1, 1, 2, 7}

82.

Are the relations inverses?

a)

yes

b)

no

83.
Which is f-1(x)?
a)
f-1(x)=3∛(x-6)
b)
f-1(x)=-6+3∛x
c)
f-1(x)=∛(3x-18)
d)
f-1(x)=3(x-6)3

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