What are the period and amplitude of the function?

Question 1 Options:

A.period 5; amplitude:3
B. Period 5; amplitude:4.5
C.Period 6; amplitude 3
D.period 6; amplitude 4.5

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musiclover10045 musiclover10045 · Answer 1 · 2019-04-17T21:14:32+02:00

The period is the distance from one point to another point in the horizontal direction.

Amplitude is the height of the center line to the lowest peak of the highest point from the x-axis.

Using the two highest points, the first is located at X4 and the second is at X9

9-4 = 5

The period = 5

The highest point is at 6, and the lowest point is at -3, which makes the length 9.

9 /2 = 4.5

Amplitude = 4.5

Answer: period:5, amplitude: 4.5

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joaobezerra joaobezerra · Answer 2 · 2022-05-06T12:53:20+02:00

Using their concepts, it is found that the correct option regarding the period and the amplitude of the function is:

B. Period 5; amplitude:4.5

The period of a function is given by the distance between it's repetitions.

In this problem, the distance is of 5, hence the period is of 5.

It is given by half the difference between it's highest and lowest values.

Hence, for this graph, it is given by:

A = [6 - (-3)]/2 = 9/2 = 4.5.

Hence option B is correct.

More can be learned about the period and the amplitude of a function at https://brainly.com/question/27322869

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