Back to 8.3 Inverse Trigonometric Functions

8.3 Exercise 101

Avg difficulty 2.5

Use this scenario: The population of a city has risen and fallen over a 20-year interval. Its population may be modeled by the following function: $y = 12 , 000 + 8 , 000 \sin \left(\right. 0.628 x ),$ where the domain is the years since 1980 and the range is the population of the city.

What are the amplitude, period, and phase shift for the function?

OpenStax Algebra and Trigonometry 2e, 8.3 Inverse Trigonometric Functions, exercise 101

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.