Practice and Problem-Solving Exercises

A Practice

Identify one cycle in two different ways. Then determine the period of the function. See Problem 1.

See Problem 2.

Determine whether each function is or is not periodic. If it is, find the period.

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    Image Long Description

See Problems 3 and 4.

Find the amplitude of each periodic function.

B Apply

Sketch the graph of a sound wave with the given period and amplitude.

18. period 0.02, amplitude 4
19. period 0.005, amplitude 9
20. Complete each statement with x or y.
    1. You use □ white square -values to compute the amplitude of a function.
    2. You use □ white square -values to compute the period of a function.
21. Which of the following could be represented by a periodic function? Explain.
    1. the average monthly temperature in your community, recorded every month for three years
    2. the population in your community, recorded every year for the last 50 years
    3. the number of cars per hour that pass through an intersection near where you live, recorded for two consecutive work days

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