AnswersAlgebra I B CR 24Absolute Value Functions and Translations

Absolute Value Functions and Translations — Unit test Answers

13 verified answers
1
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Which is the graph of the piecewise function f(x)?f(x) =

Question illustration
A
Option
B
Option
C
Option
D
Option
2
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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
3

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
4

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.
5

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

Question illustration
A
Option
B
Option
C
Option
D
Option
6

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
7

two

T
The function g(x) is defined for all real numbers x.
T
The maximum value of the range is 4.
T
The maximum value of the domain is 3.
T
The range of g(x) is {y| –1 < y ≤ 4}.
T
The domain of g(x) is {x| –4 < x ≤ 3}.
8

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}
9

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

Question illustration
A
Option
B
Option
C
Option
D
Option
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

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

(
(–∞, –7)
(
(–∞, –1)
(
(–∞, 1)
(
(–∞, 7)
12

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

Question illustration
A
3
B
3.5
C
3.8
D
4
13

Question text not available

Question illustration
B
Both the domain and range of the transformed function are the same as those of the parent function.
N
Neither the domain nor the range of the transformed function are the same as those of the parent function.
T
The range of the transformed function is the same as the parent function, but the domains of the functions are different.
T
The domain of the transformed function is the same as the parent function, but the ranges of the functions are different.
14

The function g(x) is defined as shown.

Question illustration
A
−2
B
−1
C
3
D
6
15

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.

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