AnswersSummer 2026 Common Core Algebra I - MA3109 B-IC MEF22QXVExponential Functions with Radical Bases

Lesson 2: Linear Piecewise Defined Functions Answers

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1
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Which functions represent a piece of the function? Select three options.

A
g(x) = −2x, −2 < x < 0
B
g(x) = −2, x < −2
C
g(x) = x − 2, −2 < x < 1
D
g(x) = −2x + 6, x ≥ 1
E
g(x) = + 1, –2 ≤ x < 1
Option E
2
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The graph of the piecewise function f(x) is shown.

Question illustration
{
{x | −2 ≤ x < 4}
{
{x | −2 < x ≤ 4}
{
{y | −5 < y < −1}
{
{y | −5 ≤ y ≤ −1}
3

Brenton’s weekly pay, P(h) , in dollars, is a function of the number of hours he works, h. He gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour. He is not permitted to work more than 60 hours in a week.

{
{h| 0 ≤ h ≤ 40}
{
{h| 0 ≤ h ≤ 60}
{
{P(h)| 0 ≤ P(h) ≤ 1,400}
{
{P(h)| 0 ≤ P(h) ≤ 1,800}
4

The graph of the piecewise function f(x) is shown.

Question illustration
{
{f(x)| –∞ <f(x) < ∞}
{
{f(x)| –∞ <f(x) ≤ 4}
{
{f(x)|4<f(x)<∞}
{
{f(x)|0≤f(x)<∞}
5

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.
6

Which value is in the domain of f(x)?f(x) =

Question illustration
–
–7
–
–6
4
4
5
5
7

A piecewise function f(x) is defined as shown.f(x) = Which table could be used to graph a piece of the function?

Question illustration
A
Option
B
Option
C
Option
D
Option
8

The graph of the piecewise function f(x) is shown.

Question illustration
{
{x | 1 < x < 5}
{
{x | 1 < x < 5}
{
{y | −4 < y < 1}
{
{y | −4 < y < 1}
9

The piecewise function h(x) is shown on the graph.

Question illustration
A
−7
B
−1
C
0
D
2
10

The piecewise function h(x) is shown on the graph.

Question illustration
−
−2
−
−1
0
0
3
3

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Lesson 2: Linear Piecewise Defined Functions…