Question

The table provides various values, including all minimums and maximums, of a cosine function f (x) on the interval [0, π].Angle 0 pi over 4 7 times pi over 12 3 times pi over 4 11 times pi over 12 πf (x) 1 3 0 –1 0 1What is the period of the function?pi over 3pi over 2π2π

Answer 1

Given the table of values of a Cosine Function, you know that the interval is:

$\lbrack0,\pi\rbrack$

By definition:

$-1\leq cos(x)\leq1$

By definition, the Period of the Cosine Function is the distance between the peaks.

Therefore, having:

$(0,1),(\pi,1)$

You get that the Period is:

$Period=\pi-0=\pi$

Hence, the answer is: Third option.