To find: Whether the graph of the function represents a periodic function or not. If it is periodic then find its period and amplitude.
The graph of the function doesn’t represent a periodic function, so its period is not defined. And the range of the function is not bounded so its amplitude doesn’t exist.
Given:
The graph of the function is shown below.
Concept used:
A periodic function is a function that repeats itself a pattern of outputs (
The amplitude
Calculation:
From the graph of the function, it can be interpreted that the function repeats itself for
Also, the maximum and minimum value of the function is doesn’t exist because its range is not bounded. So, its amplitude doesn’t exist.
Conclusion:
The graph of the function doesn’t represent a periodic function, so its period is not defined. And the range of the function is not bounded so its amplitude doesn’t exist.
Chapter 13 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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