a.
Determine whether the function whose graph is shown is periodic; if it is periodic, find the period.
a.
Answer to Problem 82E
This function is periodic with period
Explanation of Solution
Calculation:
Periodic functions are functions that repeat themselves.
The function
Using this definition,
Hence, this function is periodic with period
b.
Determine whether the function whose graph is shown is periodic; if it is periodic, find the period.
b.
Answer to Problem 82E
The function is not periodic.
Explanation of Solution
each interval of length
Calculation:
Periodic functions are functions that repeat themselves.
The function
Using this definition,
Compairing the amplitudes of the peaks, we see that,
Hence, the function is not periodic.
c.
Determine whether the function whose graph is shown is periodic; if it is periodic, find the period.
c.
Answer to Problem 82E
The function is not periodic.
Explanation of Solution
Calculation:
Periodic functions are functions that repeat themselves.
The function
Using this definition,
Although the amplitudes of the peaks are same, but the function’s behaviour in the interval
Hence, the function is not periodic.
d.
Determine whether the function whose graph is shown is periodic; if it is periodic, find the period.
d.
Answer to Problem 82E
This function is periodic with period
Explanation of Solution
Calculation:
Periodic functions are functions that repeat themselves.
The function
Using this definition,
Hence, this function is periodic with period
Chapter 5 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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