AnswersFL-1200310-Algebra 1 AAbsolute Value Functions and Translations

Absolute Value Functions and Translations — Unit test Answers

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The step function g(x) is defined as shown.g(x) = What is the range of g(x)?

Question illustration
A
–3 ≤ g(x) ≤ 5
B
0 ≤ g(x) ≤ 10
C
{–3, 2, 5}
D
{0, 4, 10}
2
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Which describes the range of the parent absolute value function?

A
{y | y is a real number}
B
{y | y is an integer}
C
{y|y > 0}
D
{y|y < 0}
3

If g(x) = 2 − 1, what is g(−2.3)?

Question illustration
A
-7
B
-5
C
-4
D
-3
4

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

Question illustration
A
Option
B
Option
C
Option
D
Option
5

The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?

A
(–∞, –7)
B
(–∞, –1)
C
(–∞, 1)
D
(–∞, 7)
6

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
7

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}.
8

All points of the step function f(x) are graphed.

Question illustration
A
−3, −2, −1, 0, 1
B
−2, −1, 0, 1
C
all real numbers such that −3 < y ≤ 1
D
all real numbers such that −2 < y ≤ 1
9

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

Question illustration
A
3
B
3.5
C
3.8
D
4
10

What is the vertex of the graph of f(x) = |x + 3| + 7?

A
(3, 7)
B
(7, 3)
C
(–3, 7)
D
(7, –3)
11

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
12

Which is the graph of g(x)?g(x) =

Question illustration
A
Option
B
Option
C
Option
D
Option
13

On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 2).

Question illustration
A
g(x) = |x + 4| – 2
B
g(x) = |x – 4| – 2
C
g(x) = |x – 2| – 4
D
g(x) = |x – 2| + 4
14

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.
15

The function g(x) is defined as shown.

Question illustration
A
−2
B
−1
C
3
D
6

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Absolute Value Functions and Translations