AnswersAcademy - Algebra Functions and Data AnalysisUnit Test

Unit Test Answers

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1
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The graph below is an example of which type of function?

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q
quadratic
l
linear
c
cubic
s
square root
2
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If you are given the graph of , how could you graph ?

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T
Translate each point of the graph of g(x) 5 units up.
T
Translate each point of the graph of g(x) 5 units down.
T
Translate each point of the graph of g(x) 5 units left.
T
Translate each point of the graph of g(x) 5 units right.
3

When graphed, which parabola opens downward?

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y
y = –3x2
y
y = (x – 3)2
C
Option
Option C
y
y = x2 – 3
4

Which function has a horizontal asymptote of y = 3?

f
f(x) = 3(2x)
f
f(x) = 2(4)x–3
f
f(x) = 2(3x)
f
f(x) = 2(4x) + 3
5

Which equation is y = 3(x – 2)2 – (x – 5)2 rewritten in vertex form?

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Option A
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Option B
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Option C
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Option D
6

A function is graphed on a coordinate grid. As the domain values approach infinity, the range values approach infinity. As the domain values approach negative infinity, the range values approach negative infinity. To which family of functions might the described function belong?

a
absolute value
e
exponential
c
cube root
s
square root
7

How is the graph of transformed to produce the graph of ?

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The graph is stretched horizontally by a factor of 2 and then moved right 4 units.
T
The graph is compressed horizontally by a factor of 2 and then moved down 4 units.
T
The graph is compressed horizontally by a factor of 2, moved left 4 units, and moved down 4 units.
T
The graph is stretched horizontally by a factor of 2, moved left 4 units, and moved down 4 units.
8

Which equation is y = –6x2 + 3x + 2 rewritten in vertex form?

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Option A
B
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Option C
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Option D
9

What is the range of the function f(x) = –2(6x) + 3?

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Option A
B
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Option B
C
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Option C
D
Option
Option D
10

Which function is shown in the graph below?

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Option A
B
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Option B
C
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Option C
D
Option
Option D
11

The graph of is transformed as shown in the graph below. Which equation represents the transformed function?

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Option A
B
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Option B
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Option C
D
Option
Option D
12

What is the range of ?

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a
all real numbers not equal to 0
a
all real numbers less than 6
a
all real number greater than 6
a
all real numbers
13

Which is the graph of ?

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Option A
B
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Option C
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Option
Option D
14

Which of the following shows the graph of y = –(2)x – 1?

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Option A
B
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Option B
C
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Option C
D
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Option D
15

What are the domain and range of ?

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d
domain: x > 1; range: y > 2
d
domain: x > 1; range: all real numbers
d
domain: all real numbers; range: y > 1
d
domain: all real numbers; range: all real numbers

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