AnswersVOA Math MN-Algebra I with Quadratics CR 2BPerformance Task: Construct and Analyze Piecewise Functions

Performance Task: Construct and Analyze Piecewise Functions — Unit test Answers

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1
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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.
2
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Fuaad solved an absolute value inequality and expressed the solution as . What is another way to show Fuaad’s solution?

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A
Option
Option A
B
(–12, 7]
C
Option
Option C
D
Option
Option D
3

Which table represents points on the graph of h(x) = ?

Question illustration
A
A 2-row table has 5 columns. The first row is labeled x with entries negative 8, negative 1, 0, 1, 8. The second row is labeled y with entries 4, 3, 2, 1, 0.
Option A
B
A 2-row table has 5 columns. The first row is labeled x with entries negative 2, negative 1, 0, 1, 2. The second row is labeled y with entries 10, 3, 2, 1, negative 6.
Option B
C
A 2-row table has 5 columns. The first row is labeled x with entries negative 6, 1, 2, 3, 10. The second row is labeled y with entries 2, 1, 0, negative 1, negative 2.
Option C
D
A 2-row table has 5 columns. The first row is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0. The second row is labeled y with entries negative 8, negative 1, 0, 1, 8.
Option D
4

The graph shows a vertical translation of y = .

Question illustration
A
{y|y < 0}
B
{y|y ≥ 0}
C
{y|y is a natural number}
D
{y|y is a real number}
5

What is the solution, if any, to the inequality ?

Question illustration
A
no solution
B
all real numbers
C
n > 2 or n < 6
D
2 < n < 6
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

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}
8

The function f(x) = – 3 is graphed on the coordinate grid.

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A
y > –5
B
y > –3
C
y > 0
D
y > 3
9

Which graph shows the solution to the inequality ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

Which describes how to graph by transforming the parent function?

Question illustration
A
Reflect the parent function over the y-axis, and translate it 3 units to the right.
B
Reflect the parent function over the y-axis, and translate it 3 units to the left.
C
Reflect the parent function over the x-axis, and translate it 8 units to the right.
D
Reflect the parent function over the x-axis, and translate it 8 units to the left.
11

The function g(x) is defined as shown.

Question illustration
A
−2
B
−1
C
3
D
6
12

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)
13

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.
14

Question text not available

Question illustration
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.
15

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

Question illustration
A
Option
B
Option
C
Option
D
Option

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