Answers2025-2026 AISD-Algebra II B-CRUnit Test

Unit Test — Unit test Answers

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1
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Which statement is true of the function f(x) = ? Select three options.The function is always increasing.The function has a domain of all real numbers.The function has a range of {y|– < y < }.The function is a reflection of y = .The function passes through the point (3, –27).

Question illustration
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).
2
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Which equation results from isolating a radical term and squaring both sides of the equation for the equation ?

Question illustration
A
mc012-2.jpg
Option A
B
mc012-3.jpg
Option B
C
mc012-4.jpg
Option C
D
mc012-5.jpg
Option D
3

What is the solution to the equation ?

Question illustration
A
w = –8
B
w = –5
C
w = 5
D
w = 8
4

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

Question illustration
A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) =
Option C
D
f(x) =
Option D
5

The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 2)3 – 3. Which is the graph of g(x), the translated function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

The graph of f(x) = x3 + 6x2 + 12x + 8 is shown.

Question illustration
A
no real number solutions
B
one real number solution
C
two real number solutions
D
three real number solutions
7

The solid graph is a translation of .

Question illustration
A
2 units up
B
2 units down
C
2 units left
D
2 units right
8

Which is the graph of the function f(x) = x3 + x2 + x + 1?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

Which describes how to graph by transforming the parent function?

Question illustration
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.
10

The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x + 3)3 – 4. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

A
(3, 4)
B
(3, –4)
C
(–3, 4)
D
(–3, –4)
11

What is the extraneous solution to the equation ?

Question illustration
A
p = –4
B
p = –2
C
p = 0
D
p = 4
12

Which of the following describes the solution to the equation ?

Question illustration
A
– 5 is an extraneous solution, and 1 is a true solution.
B
– 5 is a true solution, and 1 is an extraneous solution.
C
Both –5 and 1 are true solutions.
D
Both –5 and 1 are extraneous solutions.
13

Which is the graph of the function f(x) = 2x3 – 7x2 + 2x + 3?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
14

What is the solution to the equation ?

Question illustration
A
n = 2
B
n = 4
C
n = 7
D
n = 14
15

The graph of is shown.

Question illustration
A
The function is only increasing when x ≥ −8.
B
The function is only increasing when x ≥ 0.
C
The function is always decreasing.
D
The function is always increasing.
16

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}
17

Which statements correctly describe the graph of the function f(x) = x3 – 4x2 – 3x + 18? Select three options.

A
There are three unique solutions to the function when y=0.
B
The function has a double root.
C
As x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again.
D
As x approaches negative infinity, y approaches positive infinity.
E
The domain and range of the function are the set of real numbers.
18

Which equation results from isolating a radical term and squaring both sides of the equation for the equation ?

Question illustration
A
mc009-2.jpg
Option A
B
mc009-3.jpg
Option B
C
mc009-4.jpg
Option C
D
mc009-5.jpg
Option D
19

Which comparison of the two equations is accurate?Equation A: Equation B:

Question illustration
A
Both equations have different solutions because the square root of a number is not the same as the cube root of a number.
B
Both equations result in different equations after eliminating the radicals, so they have the different solutions.
C
Both equations have the same potential solutions, but equation A might have extraneous solutions.
D
Both equations have the same potential solutions, but equation B might have extraneous solutions.
20

Which statement about is true?

Question illustration
A
x = –3 is a true solution.
B
x = –3 is an extraneous solution.
C
x = 9 is a true solution.
D
x = 9 is an extraneous solution.

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