Unit Test — Unit test Answers

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Which describes how to graph by transforming the parent function?

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A
Translate the parent function 5 units to the left and 7 units up.
B
Translate the parent function 5 units to the right and 7 units up.
C
Translate the parent function 5 units down and 7 units to the right.
D
Translate the parent function 5 units up and 7 units to the right.
2
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The solid graph is a translation of .

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A
2 units up
B
2 units down
C
2 units left
D
2 units right
3

Which is equivalent to ?

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A
4
B
12
C
64
D
192
4

What is the simplified value of the exponential expression ?

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A
Option
Option A
B
Option
Option B
C
2
D
4
5

The graph of the cube root parent function y = is translated to form f(x) shown on the graph.

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A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) =
Option C
D
f(x) =
Option D
6

Which is equivalent to ?

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A
3
B
6
C
36
D
72
7

Which statement is true of the function f(x) = ? Select three options.

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A
The function is always increasing.
B
The function has a domain of all real numbers.
C
The function has a range of {y|– < y < }.
Option C
D
The function is a reflection of y = .
Option D
E
The function passes through the point (3, –27).
8

When simplified, the expression is 12. Which is a possible value of x?

Question illustration
A
6
B
24
C
144
D
256
9

What is the simplified value of the exponential expression ?

Question illustration
A
Option
Option A
B
Option
Option B
C
3
D
9
10

Which is the graph of the cube root function f(x) = ?

Question illustration
A
On a coordinate plane, a cube root function goes through (negative 8, 2), has an inflection point at (0, 0), and goes through (8, negative 2).
Option A
B
On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).
Option B
C
On a coordinate plane, a cube root function goes through (negative 4, negative 2), has an inflection point at (0, 0), and goes thorugh (4, 2).
Option C
D
On a coordinate plane, a cube root function goes through (negative 4, 2), has an inflection point at (0, 0), and goes through (4, negative 2).
Option D
11

The graph of g(x) is a translation of y = .

Question illustration
A
g(x) =
Option A
B
g(x) =
Option B
C
g(x) =
Option C
D
g(x) =
Option D
12

Which statements accurately describe the function f(x) = 3? Select three options.

Question illustration
A
The domain is all real numbers.
B
The range is y > 3.
C
The initial value is 3.
D
The initial value is 9.
E
The simplified base is .
Option E
13

When is written in simplest radical form, which value remains under the radical?

Question illustration
A
3
B
6
C
9
D
27
14

The graph shows the function f(x).

Question illustration
A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) =
Option C
D
f(x) =
Option D
15

On the coordinate grid, the graph of is shown. It is a reflection and translation of .

Question illustration
A
{x |-2 < x < 2}
B
{y |-2 < y < 2}
C
{x | x is a real number}
D
{y | y is a real number}
16

The graph of h(x) is a translation of .

Question illustration
A
h (x) = RootIndex 3 StartRoot x minus 2 EndRoot
Option A
B
h (x) = RootIndex 3 StartRoot x + 2 EndRoot
Option B
C
h (x) = RootIndex 3 StartRoot x EndRoot minus 2
Option C
D
h (x) = RootIndex 3 StartRoot x EndRoot + 2
Option D
17

The graph of y = is reflected over the y-axis and then translated down 2 units to form f(x). Which is the graph of f(x)?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
18

How are the graphs of the functions f(x) = and g(x) =related?

Question illustration
A
The functions f(x) and g(x) are equivalent.
B
The function g(x) increases at a faster rate.
C
The function g(x) has a greater initial value.
D
The function g(x) decreases at a faster rate.
19

The function f(x) = is reflected over the x-axis to create the graph of g(x) = .Which is the graph of g(x)?

Question illustration
A
On a coordinate plane, a cube root function goes through (negative 2, negative 8), has an inflection point at (0, 0), and goes through (2, 8).
Option A
B
On a coordinate plane, a cube root function goes through (negative 2, 8), has an inflection point at (0, 0), and goes through (2, negative 8).
Option B
C
On a coordinate plane, a cube root function goes through (negative 8, 2), has an inflection point at (0, 0), and goes through (8, negative 2).
Option C
D
On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).
Option D
20

Which is the graph of y = ?

Question illustration
A
On a coordinate plane, a cube root function goes through (negative 6, 2), has an inflection point at (2, 0), and goes through (10, negative 2).
Option A
B
On a coordinate plane, a cube root function goes through (negative 8, 0), has an inflection point at (0, negative 2), and goes through (8, negative 4).
Option B
C
On a coordinate plane, a cube root function goes through (negative 8, 0), has an inflection point at (0, 2), and goes through (8, 4).
Option C
D
On a coordinate plane, a cube root function goes through (negative 10, negative 2), has an inflection point at (negative 2, 0), and goes through (6, 2).
Option D

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