AnswersAlgebra IUnit Test

Linear Piecewise Defined Functions Answers

0 verified answers1 views
1
Free Preview

The function g(x) is defined as shown.

Question illustration
A
2
B
3
C
9
D
14
2
Free Preview

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

Question illustration
A
–2
B
–1
C
1
D
2
3

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.
4

A piecewise function is defined as shown.

Question illustration
A
−3
B
−2
C
1
D
4
5

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
6

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
7

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.

A
{h| 0 ≤ h ≤ 40}
B
{h| 0 ≤ h ≤ 60}
C
{P(h)| 0 ≤ P(h) ≤ 1,400}
D
{P(h)| 0 ≤ P(h) ≤ 1,800}
8

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

Question illustration
A
−2
B
−1
C
0
D
3
9

The piecewise function f(x) has opposite expressions.f(x) = Which is the graph of f(x)?

Question illustration
A
Option
B
Option
C
Option
D
Option
10

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

Question illustration
A
{x | −2 ≤ x < 4}
B
{x | −2 < x ≤ 4}
C
{y | −5 < y < −1}
D
{y | −5 ≤ y ≤ −1}

Did you find these answers helpful?