Linear Piecewise Defined Functions Answers

14 verified answers4 views
4

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

Question illustration
A
{x | 1 < x < 5}
B
{x | 1 < x < 5}
C
{y | −4 < y < 1}
D
{y | −4 < y < 1}
8

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.
9

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}
11

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.
12

A gym offers three levels of membership based on the number of visits per month, as represented by the table.Kaleigh wants to know how much she will pay for her gym membership. Which graph represents the total monthly cost at the gym as a function of the number of visits Kaleigh plans to make each month?

Question illustration
A
Option
B
Option
C
Option
D
Option
13

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
14

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
16

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
17

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
18

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}
19

The function h(x) is defined as shown.h(x) =

Question illustration
–
–∞ < h(x) < ∞
h
h(x) ≤ 5
h
h(x) ≥ 5
h
h(x) ≥ 3

Did you find these answers helpful?