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Lesson: Identifying the Domains and Ranges of Piecewise Functions

Learn how to find the domain and range of a piecewise-defined function in this lesson. We'll cover both piecewise linear functions and piecewise nonlinear functions, and will see them both with and without their graphs.

Worksheet: Identifying the Domains and Ranges of Piecewise Functions • 15 Questions

Q1:

Find the domain of the real function

Q2:

Find the domain of the real function

Q3:

Determine the intervals of increase and decrease of the function

A is increasing on the interval and decreasing on the interval .
B is decreasing everywhere.
C is increasing on the interval and decreasing on the interval .
D is increasing everywhere.
E is increasing on the interval and decreasing on the interval .

Q4:

Determine the intervals of increase and decrease of the function

A is increasing on the interval and decreasing on the interval .
B is decreasing everywhere.
C is increasing on the interval and decreasing on the interval .
D is increasing everywhere.
E is increasing on the interval and decreasing on the interval .

Q5:

Find the domain and the range of the function

Adomain , range
Bdomain , range
Cdomain , range
Ddomain , range
Edomain , range

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