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What are the period and amplitude of the function?

A) period 3, amplitude 1.5
B) period 3, amplitude 3
C) period 4, amplitude 1.5
D) period 4, amplitude 3

What are the period and amplitude of the function? A) period 3, amplitude 1.5 B) period-example-1

2 Answers

2 votes
period 3, amplitude 1.5
User Hukir
by
7.3k points
5 votes

Answer:

Option: A is the correct answer.

A) Period: 3 , amplitude : 1.5

Explanation:

We know that Period of a function is the smallest value such that the function repeats after a fixed time.

and also the amplitude of the function is the height above or below the mid-line.

After looking at the graph we see that the period of the function is: 3

Since the function is repeating itself after every x=3.

Also, the mid-line of the function is: y= -0.5.

Hence, the height above the mid-line is: 1+0.5 = 1.5

Hence, amplitude= 1.5

User Anass Kartit
by
7.5k points