Question

What are the period and amplitude of the function?

Answer 1

Answer:

The correct option is 3.

Step-by-step 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.

$A=midline=\frac{Maximum-Minimum}{2}$

$A=midline=\frac{4-(-4)}{2}$

$A=midline=4$

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

ANSWER

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