AnswersInt Math II Sem 2 2025-2026Unit 6 Test

Unit 6 Test Answers

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Which could be the graph of f(x) = |x - h| + k if h and k are both positive?

A
Option
B
Option
C
Option
D
Option
2
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A function, h(x), is defined as shown.h(x) = Which graph represents h(x)?

Question illustration
A
Option
B
Option
C
Option
D
Option
3

The graph of a function is shown.

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A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) =
Option C
D
f(x) =
Option D
4

Which graph represents the function p(x) = |x – 1|?

A
Option
B
Option
C
Option
D
Option
5

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
6

What is the simplified value of the exponential expression ?

Question illustration
A
Option
Option A
B
Option
Option B
C
2
D
4
7

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).
8

The factor tree for 3,025 is shown.

Question illustration
A
16
B
55
C
52(112)
D
52+(112)
9

Question text not available

Question illustration
A
f(x) = −2|x| + 1
B
f(x) = |x| + 1
Option B
C
f(x) = -2|x + 1|
D
f(x) = |x + 1|
Option D
10

Question text not available

Question illustration
A
–1
B
Option
Option B
C
1
D
4
11

What is the simplified form of ?

Question illustration
A
200
Option A
B
200
Option B
C
20
Option C
D
20
Option D
12

Which is equivalent to ?

Question illustration
A
4
B
12
C
64
D
192
13

If f(x) = − 5, what is f(8.6)?

Question illustration
A
3
B
4
C
8
D
9
14

The graph of the step function g(x) = –⌊x⌋ + 3 is shown.

Question illustration
A
{x| x is a real number}
B
{x| x is an integer}
C
{x| –2 ≤ x < 5}
D
{x| –1 ≤ x ≤ 5}
15

A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed.f(x) = Which describes the meaning of f(x)?

Question illustration
A
A customer earns 1 free night per 10 nights stayed.
B
A customer starts with 1 free night and then earns another free night after every 10 nights stayed.
C
A customer earns x – 10 free nights for every 10 nights stayed.
D
A customer earns 10 free nights after x number of nights stayed.
16

Which represents the reflection of f(x) = over the y-axis?

Question illustration
A
A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 4. The second column is labeled f (x) with entries undefined, 0, 1, 2.
Option A
B
A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 4. The second column is labeled f (x) with entries undefined, 0, negative 1, negative 2.
Option B
C
On a coordinate plane, an absolute value graph starts at (0, 0) and goes to the left through (negative 4, 2).
Option C
D
On a coordinate plane, an absolute value graph starts at (0, 0) and goes up and to the left through (negative 2, 4).
Option D
17

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
18

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.
19

What is the simplified form of ?

Question illustration
A
5000
Option A
B
5000
Option B
C
100
Option C
D
100
Option D
20

The step function f(x) is graphed.

Question illustration
A
0
B
1
C
2
D
4

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