Linear Piecewise Defined Functions

Question 1

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

Revolt · Accepted Answer

g(x) = −2, x < −2; g(x) = −2x + 6, x ≥ 1; g(x) = + 1, –2 ≤ x < 1

Question 2

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

Revolt · Accepted Answer

{f(x)| –∞ <f(x) ≤ 4}

Question 3

Which times and distances are represented by the function? Select three options.

Revolt · Accepted Answer

At 2 hours, the traveler is 725 miles from home.; At 3 hours, the distance is constant, at 875 miles.; The total distance from home after 6 hours is 1,062.5 miles.

Question 4

The function g(x) is defined as shown.

Revolt · Accepted Answer

3

Question 5

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

Revolt · Accepted Answer

{y | −5 ≤ y ≤ −1}

Question 6

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.

Revolt · Accepted Answer

{h| 0 ≤ h ≤ 60}

Question 7

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

Revolt · Accepted Answer

h(x) ≤ 5

Question 8

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

Revolt · Accepted Answer

{x | 1 < x < 5}

Question 9

A piecewise function is defined as shown.

Revolt · Accepted Answer

4

Linear Piecewise Defined Functions Answers

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