f(x) = sin²1.35x on 0

Question

f(x) = sin²1.35x on 0 < x < 2 $\pi$ has A) a relative maximum only B) a relative minimum only C) both a relative maximum and a relative minimum D) neither a relative maximum nor a relative minimum E) cannot be determined

Quizplus · Accepted Answer

Since the function is a sine function, it oscillates between 1 and -1, reaching a relative maximum at every crest and a relative minimum at every trough. The function has multiple crests and troughs within the interval (0, 2π), so it must have both relative maxima and minima. Therefore, the answer choice is C.

F(x) = Sin21 π\piπ Has A) a Relative Maximum Only B) a Relative Minimum

F(x) = Sin²1 $\pi$ Has
A) a Relative Maximum Only
B) a Relative Minimum