For the following exercises, use this scenario: The population of a city has risen and fallen over a 20-year interval. Its population maybe modeled by

ddaeeric 2021-02-20 Answered
For the following exercises, use this scenario: The population of a city has risen and fallen over a 20-year interval. Its population maybe modeled by the following function: y=12.000+8.000sin(0.628x), where the domain is the years since 1980 and the range is the population of the city.
Graph the function on the domain of [0,40]
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Velsenw
Answered 2021-02-21 Author has 91 answers
Given:
The population of a city risen and fallen over a 20-year interval. Its populations may be modeled by the function y=12000+8000sin(0.628x), where domain is the year since 1980 and the range is the population of the city.
Calculation:
The given function is y=12000+8000sin(0.628x).
Comparing, the function with the standard form of the sinusoidal function y=Asin(BxC)+D
A=8000,B=0.628,C=0,D=12000
The amplitude is A=8000
The periodis given by
2πB
2π0.628=3.140.314
=10
And the phase shift is C=0
Using these properties, the graph of the function in the domain [0,40] has been shown below
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