AnswersCommon Core Algebra I - MA3109 A-ICPerformance 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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Which is the graph of the function f(x) =

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A
Option
B
Option
C
Option
D
Option
2
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The function f(x)= – is shown on the graph.

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A
The range of the graph is all real numbers greater than or equal to 0.
B
The domain of the graph is all real numbers greater than or equal to 0.
C
The range and domain of the graph are the same.
D
The domain of the graph is all real numbers.
3

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

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A
Option
B
Option
C
Option
D
Option
4

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
5

The graph shows a vertical translation of y = .

Question illustration
{
{y|y < 0}
{
{y|y ≥ 0}
{
{y|y is a natural number}
{
{y|y is a real number}
6

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

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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

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
8

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.
9

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

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A
3
B
3.5
C
3.8
D
4
10

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
11

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}
12

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)
13

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
14

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}

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