Answers26-27 AISD - Algebra 2A-IC HallReflections and Dilations of Absolute Value Functions

Unit 6 Test Answers

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1
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Which function has a simplified base of 4?

Question illustration
A
f(x) = 2
Option A
B
f(x) = 2
Option B
C
f(x) = 4
Option C
D
f(x) = 4
Option D
2
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Question text not available

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A
Both the domain and range of the transformed function are the same as those of the parent function.
B
Neither the domain nor the range of the transformed function are the same as those of the parent function.
C
The range of the transformed function is the same as the parent function, but the domains of the functions are different.
D
The domain of the transformed function is the same as the parent function, but the ranges of the functions are different.
3

Nina graphs the function y=⌊x⌋ to learn the properties of the parent floor function.What is the value of y when x=5.7?

A
5
B
5.50
C
5.75
D
6
4

Which is the graph of the function f(x) =

Question illustration
A
Option
B
Option
C
Option
D
Option
5

Question text not available

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A
all real numbers
B
all real numbers less than or equal to −4
C
all real numbers greater than or equal to 1
D
all real numbers greater than or equal to −4
6

What is the rate of increase for the function f(x) = ?

Question illustration
A
One-third
Option A
B
2
Option B
C
4
D
4
Option D
7

If f(x) = , what is f(7.6)?

Question illustration
A
3
B
3.5
C
3.8
D
4
8

Which times and distances are represented by the function? Select three options.

A
The starting distance, at 0 hours, is 300 miles.
B
At 2 hours, the traveler is 725 miles from home.
C
At 2.5 hours, the traveler is still moving farther from home.
D
At 3 hours, the distance is constant, at 875 miles.
E
The total distance from home after 6 hours is 1,062.5 miles.
9

Which statement is true about the function f(x) = ?

Question illustration
A
It has the same domain as the function f(x) = .
Option A
B
It has the same range as the function f(x) = .
Option B
C
It has the same domain as the function f(x) = .
Option C
D
It has the same range as the function f(x) = .
Option D
10

Which statement best describes and the parent function ?

Question illustration
A
The domains of g(x) and f(x) are the same, but their ranges are not the same.
B
The ranges of g(x) and f(x) are the same, but their domains are not the same.
C
The ranges of g(x) and f(x) are the same, and their domains are also the same.
D
The domains of g(x) and f(x) are the not the same, and their ranges are also not the same.
11

Which graph shows a function with a range of all real numbers greater than or equal to –1?

A
Option
B
Option
C
Option
D
Option
12

Which statements describe the domain and range of g(x)? Select two options.

A
The function g(x) is defined for all real numbers x.
B
The maximum value of the range is 4.
C
The maximum value of the domain is 3.
D
The range of g(x) is {y| –1 < y ≤ 4}.
E
The domain of g(x) is {x| –4 < x ≤ 3}.
13

Question text not available

Question illustration
A
The range of the transformed function and the parent function are both all real numbers greater than or equal to 4.
B
The domain of the transformed function is all real numbers and is, therefore, different from that of the parent function.
C
The range of the transformed function is all real numbers greater than or equal to 0 and is, therefore, different from that of the parent function.
D
The domain of the transformed function and the parent function are both all real numbers.
14

Which statement is true about the function f(x)= –?

Question illustration
A
The domain of the function is all negative real numbers.
B
The range of the function is all positive real numbers.
C
The domain and range of the function have opposite signs.
D
The domain and range of the function are the same.
15

The graph represents the cost of catering a dinner as a function of the number of guests.

Question illustration
A
$400
B
$600
C
$700
D
$800

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