Question

What are the period and amplitude of the function?

Answer 1

The correct option is 3.

Explanation:

The general form of a cosine function is

`f(x)=A\cos (Bx+C)+D`

where, A is amplitude, 2π/B is period, C is phase sift and D is midline.

`A=midline=(Maximum-Minimum)/(2)`

`A=midline=(4-(-4))/(2)`

`A=midline=4`

The amplitude of the function is 4.

The given graph complete a cycle in the interval [0,2π], therefore the period of the graph is 2π.

Therefore the correct option is 3.

Answer 2

Period: 2π , amplitude: 4

EXPLANATION

The graphed function is

`y = 4\cos(x)`

The amplitude of this function is

`|4| = 4`

The period is 2π because there is no phase shift hence the period is still equal to the parent function.

Period: 2π , amplitude: 4