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?

See explanation

Step-by-step explanation:

A. The graph of the function is shown in attached diagram.

B. The period of the function is

C. The values of are so the maximum value of the function is

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