AnswersKISD SS-3391B-Algebra II Honors BUnit Test

Unit Test — Unit test Answers

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1
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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
2
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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.
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 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
5

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
6

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).
7

What is the extraneous solution to the equation ?

Question illustration
A
p = –4
B
p = –2
C
p = 0
D
p = 4
8

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.
9

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)
10

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
11

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
12

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
13

Which cube root function is always decreasing as x increases?

A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) =
Option C
D
f(x) =
Option D
14

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.
15

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
16

Graph the function f(x) = x3 – 4x – 1. Which are approximate solutions for x when f(x) = 0? Select three options.–2.11–1.86–0.250.252.11

A
–2.11
B
–1.86
C
–0.25
D
0.25
E
2.11
17

The graph of f(x) = x3 – 3x2 + 4 is shown.

Question illustration
A
no real number solution
B
one real number solution
C
two real number solutions
D
three real number solutions
18

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
19

What is the domain of f(x) = ?

Question illustration
A
all real numbers
B
positive numbers and zero
C
all integers
D
whole numbers
20

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

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