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Find the amplitude and the equation of the midline of the periodic function.

A. 2; y=4
B. 3; y = 2
C. 2; y = 2
D. 2; y = 3

Find the amplitude and the equation of the midline of the periodic function. A. 2; y-example-1

2 Answers

5 votes

Check the picture below.

Find the amplitude and the equation of the midline of the periodic function. A. 2; y-example-1
User Dilson
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Answer:

Option B. Amplitude =3 midline is y =2.

Explanation:

In the graph attached we have to find the amplitude and midline of the periodic function.

Amplitude of the periodic function = (Distance between two extreme points on y asxis)/2

= (5-(-1))/2 = (5+1)/2 =6/2 =3.

Since amplitude of this function is 3 and by definition amplitude of any periodic function is the distance between the midline and the extreme point of wave on one side.

Therefore midline of the wave function is y=2 from which measurement of the amplitude is 3.

User Laurent Farcy
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