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WorksheetsUnit 1 and 2
Total questions: 63
Worksheet time: 2hrs 39mins
Name
Class
Date
1.
Given f(x)=2x+25, find f(5).
a)
f(5) = 60
b)
f(5) = 40
c)
f(5) = -15
d)
f(5) = 35
2.
Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))
and g(x) = x - 2
Find f(g(5))
a)
19
b)
23
c)
-10
d)
None of these.
3.
f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)
g(x) = x - 2
Find (f∘g)(0)
a)
16
b)
4
c)
-4
d)
None of these.
4.
f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))
g(x) = x - 2
Find g(f(-10))
a)
-42
b)
-26
c)
-18
d)
None of these.
5.
What is f(g(3))?
a)
1/8
b)
8
c)
1/4
d)
1/2
6.
a)
9 - √17
b)
4
c)
2
d)
√8
7.
If the equation of f(x) goes through (1, 4) and (4, 6), what points does f-1(x) go through?
a)
(1, 4) and (4, 6)
b)
(-4, -1) and (-6, -4)
c)
(-1, -4) and (-4, -6)
d)
(4, 1) and (6, 4)
8.
Find the inverse of
f(x) = 1/4x - 7
f(x) = 1/4x - 7
a)
f-1(x) = 4x + 7
b)
f-1(x) = -4x + 28
c)
f-1(x) = -4x - 7
d)
f-1(x) = 4x + 28
9.
Are the following inverses of each other?
a)
True
b)
False
10.
Which graph represents the functions f(x) and f-1(x)?
a)
b)
c)
d)
11.
What is the equation that the inverse will reflect across?
a)
y = x
b)
y = 0
c)
x = 0
d)
Potato
12.
Are the following inverses of each other?
a)
True
b)
False
13.
Name the parent function.
a)
linear
b)
constant
c)
absolute value
d)
quadratic
14.
Name the parent function.
a)
linear
b)
quadratic
c)
cube root
d)
cubic
15.
Name the parent function.
a)
linear
b)
quadratic
c)
absolute value
d)
cubic
16.
Name the parent function.
a)
cube root
b)
quadratic
c)
cubic
d)
square root
17.
Name the parent function.
a)
cube root
b)
square root
c)
cubic
d)
squiggly
18.
Name the parent function.
a)
linear
b)
quadratic
c)
cubic
d)
logarithmic
19.
Name the parent function.
a)
constant
b)
quadratic
c)
linear
d)
exponential
20.
Name the parent function.
a)
cubic
b)
cube root
c)
exponential
d)
quadratic
21.
Name the parent function.
a)
cube root
b)
square root
c)
quadratic
d)
linear
22.
Domain is:
a)
All x values, from left to right.
b)
All y values, from bottom to top.
c)
All x values from bottom to top.
d)
All y values from left to right.
23.
Range is:
a)
All x values, from left to right.
b)
All y values, from left to right.
c)
All y values, from bottom to top.
d)
All x values, from bottom to top.
24.
Which parent function matches the graph?
a)
y = |x|
b)
y = x
c)
y = x2
d)
y = 2x
25.
What type of function is shown?
a)
linear
b)
quadratic
c)
square root
d)
absolute value
26.
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|
27.
Tell how the graph transformed.
y = (x - 3)2
y = (x - 3)2
a)
Translated right 3
b)
Translated left 3
c)
Translated up 3
d)
Translated down 9
28.
Describe the transformation
a)
left 2 up 5
b)
right 2 up 5
c)
left 2 down 5
d)
right 2 down 5
29.
Describe the transformation.
a)
up 3
b)
down 3
c)
left 3
d)
right 3
30.
Which function is graphed?
a)
f(x) = 2|x + 2| -4
b)
f(x) = 2|x - 4| + 2
c)
f(x) = |x + 2| - 4
d)
f(x) = -2|x - 4|
31.
Which function is graphed?
a)
f(x) = -|2x - 3| + 5
b)
f(x) = -|x + 5| - 3
c)
f(x) = -|2x + 6| + 5
d)
f(x) = -2|x + 5| - 3
32.
Which function is graphed?
a)
f(x) = -3|-x + 1| + 4
b)
f(x) = -|x - 1| + 4
c)
f(x) = -5|x + 1| + 4
d)
f(x) = -3|x - 4| + 1
33.
Which function is graphed?
a)
f(x) = 2|x + 2| - 3
b)
f(x) = |1/2x + 2| - 3
c)
f(x) = |1/2x + 3| - 2
d)
f(x) = 4|1/2x + 3| - 2
34.
Which function is graphed?
a)
f(x) = 2|x - 5|
b)
f(x) = |x - 5|
c)
f(x) = |x - 5| + 5
d)
f(x) = |x| + 5
35.
Evaluate each expression.
| x + 9 | = -5
| x + 9 | = -5
a)
-14
b)
-4
c)
{-14, -4}
d)
no solution
36.
| x – 3 |= 0
a)
3
b)
-3
c)
{-3, 3}
d)
no solution
37.
∣ 2x + 9 ∣ = 15
a)
x = 3
b)
x = 3
x = -6
x = -6
c)
x = 3
x = -12
x = -12
d)
x = 6
x = -12
x = -12
38.
−2|−2r − 4| = -12
a)
{5,1}
b)
{-5,-1}
c)
{-5,1}
d)
No Solution
39.
Solve |2x –3| + 5 =10.
a)
-1, 1
b)
-1, 4
c)
-1, -4
d)
1, 4
40.
Solve for x
l 4x−3 l = 17
l 4x−3 l = 17
a)
x = 5 and x =-3.5
b)
x = 0 and x = -5
c)
x = 10 and x = -10
d)
No Solution
41.
Sam's house is 14 blocks from the school. Emily lives 6 blocks from Sam. Use an absolute value equation to determine Emily's distance for the school.
a)
|x + 6| = 10
6, 14
6, 14
b)
|x – 6| = 14
20, 8
20, 8
c)
|x – 14| = 6
20, 8
20, 8
d)
|x + 14| = 6
6, 14
6, 14
42.
|−2n| + 10 = −50
a)
{30, -30}
b)
{20,-20}
c)
{-5,5}
d)
No Solution
43.
Solve:
|x + 3| > 8
|x + 3| > 8
a)
x > 5 or x < -11
b)
x > 5
c)
all real numbers
d)
no solution
44.
Solve.
|2x - 1| = -7
|2x - 1| = -7
a)
x = -3 or x = 4
b)
all real numbers
c)
x = 3 or x = -3
d)
no solution
45.
Solve.
-5|x - 4| > -20
-5|x - 4| > -20
a)
x < 8 and x > 0
b)
x > 8 or x < 0
c)
all real numbers
d)
no solution
46.
Solve.
-5|x - 4| > 20
-5|x - 4| > 20
a)
x < 8 and x > 0
b)
x > 8 or x < 0
c)
all real numbers
d)
no solution
47.
Solve.
-5|x - 4| < 20
-5|x - 4| < 20
a)
x < 8 and x > 0
b)
x > 8 or x < 0
c)
all real numbers
d)
no solution
48.
What is the vertex of f(x) =|x+2|+ 4?
a)
(2, 4)
b)
(-2, 4)
c)
(-2, -4)
d)
I don't know
49.
a)
x > - 4 or y < 24
b)
- 4 < y < 24
c)
4 < y < 24
d)
x > 24 or x < - 4
50.
a)
4 < y < 7
b)
- 7 < y < 4
c)
- 4 < y < 24
d)
4 < y < 24
51.
a)
x > 11 or x < 5
b)
x > - 11 or x > 5
c)
5 < x < 11
d)
- 5 < x < 11
52.
a)
Infinite solutions
b)
- 2 ≤ x ≤ - 7
c)
No Solution
d)
-7/3 ≤ x ≤ -3/7
53.
What is f(-2)?
a)
4
b)
1
c)
1
d)
DNE
54.
What is m(-3)?
a)
-3
b)
0.5
c)
3
d)
-3.5
55.
Match the graph with the correct equation.
a)
b)
c)
d)
56.
Match the graph with the correct equation.
a)
b)
c)
d)
57.
a)
A
b)
B
c)
C
d)
D
58.
Using the pictured graph, what is f(1)?
a)
-3
b)
-1
c)
1
d)
3
59.
Find f(0)
a)
-3
b)
18
c)
4
d)
0
60.
What is f(7) if:
a)
1
b)
2
c)
3
d)
4
e)
28
61.
What is f(3) if:
a)
1
b)
2
c)
3
d)
6
e)
9
62.
What are the domain restrictions for the green piece of this function?
a)
-2 < x ≤ 1
b)
-1 < x ≤ 0.5
c)
x > -2
d)
x ≤ 1
63.
What are the domain restrictions for the middle piece of this function?
a)
x ≥ 1
b)
x ≥ 2
c)
2 ≤ x < 6
d)
1 ≤ x < 3
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