Answers25-26 Summer - Humble ISD CR - Algebraic Reasoning B - 4th Nine WeeksAnalyzing Compositions of Functions

Modeling with Functions Answers

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1
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If and , what is?

Question illustration
A
= 3x + 1
Option A
B
= x – 3
Option B
C
= 3x
Option C
D
= x
Option D
2
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If , , and , what is ?

Question illustration
A
mc011-5.jpg
Option A
B
mc011-6.jpg
Option B
C
mc011-7.jpg
Option C
D
mc011-8.jpg
Option D
3

If and , which of the following is the graph of ?

Question illustration
A
mc007-4.jpg
Option A
B
mc007-5.jpg
Option B
C
mc007-6.jpg
Option C
D
mc007-7.jpg
Option D
4

If f(x) = x + 4 and , what is ?

Question illustration
A
mc005-3.jpg
Option A
B
mc005-4.jpg
Option B
C
mc005-5.jpg
Option C
D
mc005-6.jpg
Option D
5

If f(x) = 2x and , what is the domain of ?

Question illustration
A
mc015-3.jpg
Option A
B
all real numbers except x = 0
C
mc015-4.jpg
Option C
D
all real numbers
6

If f(x) = 3x and , what is the domain of ?

Question illustration
A
mc016-3.jpg
Option A
B
all real numbers except x = 0
C
mc016-4.jpg
Option C
D
all real numbers
7

Let f(x) = x + 1 and . The graph of is shown below. What is the range of ?

Question illustration
A
all real numbers except y = –1
B
all real numbers except y = 0
C
all real numbers except y = 1
D
all real numbers
8

If f(x) = 3x and , what is ?

Question illustration
A
= 5x
Option A
B
= 5x2
Option B
C
= 6x
Option C
D
= 6x2
Option D
9

Let and . What are the domain and range of ?

Question illustration
A
domain: x > 0range: y > 0
B
domain: x > 6range: y > 0
C
domain: all real numbersrange: y > 6
D
domain: all real numbersrange: all real numbers
10

If f(x) = x and g(x) = 2, what is ?

Question illustration
A
= 2x
Option A
B
= 2
Option B
C
= x + 2
Option C
D
=
Option D

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