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Given f(x) = 3 - sin(πx/3)

a. sketch the graph of f(x)
b. find the period of f(x).
c. compute the max value of f(x)
d. what is the smallest positive x for which f(x) is a maximum?

User Lavrik
by
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1 Answer

1 vote

Answer:

See explanation

Explanation:

A. The graph of the function
f(x)=3-\sin (\pi x)/(3) is shown in attached diagram.

B. The period of the function
f(x)=3-\sin (\pi x)/(3) is


T=(2\pi)/((\pi)/(3))=6.

C. The values of
\sin (\pi x)/(3) are
[-1,1], so the maximum value of the function
f(x)=3-\sin (\pi x)/(3) is


3-(-1)=4.

D. The smallest positive x for which f(x) is maximum is x=4.5 (black point on the graph).

Given f(x) = 3 - sin(πx/3) a. sketch the graph of f(x) b. find the period of f(x). c-example-1
User Gaurav Kumar Singh
by
7.6k points

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