WorksheetsInverse and Radical Review
Total questions: 20
Worksheet time: 24mins
Name
Class
Date
1.
What is the inverse of
f(x) = 4x?
f(x) = 4x?
a)
f-1(x) = 4x
b)
f-1(x) = -4x
c)
f-1(x) = x/4
d)
f-1(x) = -x/4
2.
Find the inverse of
g(x) = 5x - 2
g(x) = 5x - 2
a)
g-1(x) = 5x + 2
b)
g-1(x) = (x + 2)/5
c)
g-1(x) = (x - 2)/5
d)
g-1(x) = (x - 5)/-2
3.
If y = -2x + 14, the inverse must be...
a)
y-1 = 2x - 14
b)
y-1 = 1/2x - 7
c)
y-1 = -1/2x - 7
d)
y-1 = -1/2x + 7
4.
Find the inverse of
h(x) = 6x2 + 24
h(x) = 6x2 + 24
a)
h-1(x) = √(1/6x + 4)
b)
h-1(x) = √(1/6x - 4)
c)
h-1(x) = √(1/6x) + 4
d)
h-1(x) = √(1/6x) - 4
5.
Find the inverse of
f(x) = (x - 8)2
f(x) = (x - 8)2
a)
f-1(x) = √(x + 8)
b)
f-1(x) = √(x - 8)
c)
f-1(x) = √(x) + 8
d)
f-1(x) = √(x) - 8
6.
Which of the following pairs of functions are inverses?
a)
y = 3x + 4 and y = 3x - 4
b)
y = x + 5 and y = 5 + x
c)
y = 1/2x + 4 and y = 2x - 8
d)
y = 1/4x + 12 and y = 4x - 3
7.
If the graph of f(x) includes the points (5, -3), (2, 1), and (-4, -9), then what points will be on the graph of the INVERSE of f(x)?
a)
(-5, 3), (-2, -1), and (4, 9)
b)
(3, -5), (-1, -2), and (9, 4)
c)
(-3, 5), (1, 2), and (-4, -9)
d)
(-3, 5), (1, 2), and (-9, -4)
8.
Look at Graph Set 1. Which of those graphs is the INVERSE of the graph shown?
a)
A
b)
B
c)
C
d)
D
9.
Look at Graph Set 2. Which of the graphs represents the INVERSE of f(x) = 5x?
a)
A
b)
B
c)
C
d)
D
10.
Which of the following best describes this image?
a)
It is a one-to-one function
b)
It is a function, but it is not one-to-one
c)
It is not a function
11.
Which of the following is true about this image
a)
The vertical line test proves that it is a function
b)
The vertical line test proves that it is NOT a function
c)
The horizontal line test proves that it is a function
d)
The horizontal line test proves that it is NOT a function
12.
Solve
a)
x = 1
b)
x = 5.5
c)
x = 7
d)
x = 16
13.
Solve
a)
x = 47
b)
x = -1
c)
x = 17
d)
x = 24
14.
Solve
a)
x = 6
b)
x = 8
c)
x = 15
d)
x = 30
15.
Give the domain and range of the graph shown
a)
Domain: x ≥ 0, Range: y ≥ 5
b)
Domain: x ≤ 0, Range: y ≤ 5
c)
Domain: x ≥ 5, Range: y ≥ 0
d)
Domain: x ≤ 5, Range: y ≤ 0
16.
Which of the following equations matches the graph shown?
a)
√(x + 5)
b)
√(x - 5)
c)
√(x) + 5
d)
√(x) - 5
17.
Give the domain and range of the graph shown
a)
Domain: x ≥ -2, Range: y ≥ 4
b)
Domain: x ≤ -2, Range: y ≤ 4
c)
Domain: x ≥ 4, Range: y ≥ -2
d)
Domain: x ≤ 4, Range: y ≤ -2
18.
Which of the following equations matches the graph shown?
a)
√(x + 4) +2
b)
√(x + 4) - 2
c)
√(x - 4) + 2
d)
√(x - 4) - 2
19.
What transformations are taking place in the function f(x) = √(x-3) + 7
a)
3 units left, 7 units up
b)
3 units left, 7 units down
c)
3 units right, 7 units up
d)
3 units right, 7 units down
20.
What transformations are taking place in the function f(x) = -√(x + 9)
a)
Flip vertically, shift left 9 units
b)
Flip vertically, shift right 9 units
c)
Flip horizontally, shift left 9 units
d)
Flip horizontally, shift right 9 units
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