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What are the period and amplitude of the function?

What are the period and amplitude of the function?-example-1
User Kinesh
by
8.5k points

2 Answers

3 votes

Answer:

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.

User Quintonm
by
8.7k points
5 votes

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

User Raj Rj
by
8.2k points

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