1) What is the frequency of the function f(x)?

f(x)=−2sin(x/4)+3

Express the answer in fraction form.

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2) What is the period of the function f(x) shown in the graph?

3)

Over a 24-hour period, the temperature in a town can be modeled by one period of a sinusoidal function. The temperature measures 70°F in the morning, rises to a high of 80°F, falls to a low of 60°F, and then rises to 70°F by the next morning.

What is the equation for the sine function f(x), where x represents time in hours since the beginning of the 24-hour period, that models the situation?

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4)

Thank you so much for help!

Guest Dec 10, 2018

edited by
Guest
Dec 10, 2018