Question

Identify the period and amplitude of the function shown in the graph

a period 2 amplitude 5
b period 2 amplitude 2.5
c period 2.5 amplitude 2
d period 5 amplitude 2

Answer 1

The answer is the option B

period
`2` amplitude
`2.5`

Explanation:

we know that

The Amplitude is the height from the mean. The Period is the distance required for the function to complete one full cycle

see the attached figure to better understand the problem

`Period=(1-(-1))=2`

`Amplitude=((4-(-1)))/(2)=(5)/(2)=2.5`

Answer 2

Amplitude is half of the total height which is 5/2 = 2.5

Period is the horizontal distance from two low peaks or two high peaks which is 2.

So your answer is B period 2 amplitude 2.5