
a.
From the graph, determine whether the function is periodic; if it is periodic, find the period.
a.

Answer to Problem 83E
The function is clearly periodic with period
Explanation of Solution
Given information:
Use a graphing device to graph the following functions.
Calculation:
Periodic functions are functions that repeat themselves.
The function
Using this definition, we will graph the function below,
Hence, the function is clearly periodic with period
b.
From the graph, determine whether the function is periodic; if it is periodic, find the period.
b.

Answer to Problem 83E
The function is not periodic.
Explanation of Solution
Given information:
Use a graphing device to graph the following functions.
Calculation:
Periodic functions are functions that repeat themselves.
The function
Using this definition, we will graph the function below,
The interval between
Hence, the function is not periodic.
c.
From the graph, determine whether the function is periodic; if it is periodic, find the period.
c.

Answer to Problem 83E
The function is clearly periodic with period
Explanation of Solution
Given information:
Use a graphing device to graph the following functions.
Calculation:
Periodic functions are functions that repeat themselves.
The function
Using this definition, we will graph the function below,
Hence, the function is clearly periodic with period
d.
From the graph, determine whether the function is periodic; if it is periodic, find the period.
d.

Answer to Problem 83E
This function is periodic with period
Explanation of Solution
Given information:
Use a graphing device to graph the following functions.
Calculation:
This graph of
The graph is an infinite number of parallel straight lines with a slope of
This function is not continuous.
Each line begins at
This indicates that the point is not the part of the graph.
Hence, this function is periodic with period
e.
From the graph, determine whether the function is periodic; if it is periodic, find the period.
e.

Answer to Problem 83E
The function is clearly periodic with period
Explanation of Solution
Given information:
Use a graphing device o graph the following functions.
Calculation:
Periodic functions are functions that repeat themselves.
The function
Using this definition, we will graph the function below,
Hence, the function is clearly periodic with period
Chapter 5 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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