Question

PLEASEEEEE HELPPP MEEE WITHH THIS QUESTIONN PLEASEEE

Answer 1

Answer: A

Explanation:

To find the average rate of change, you use the formula
`(f(b)-f(a))/(b-a)`. The best way to get the correct answer is to plug in each interval to make sure it equals 0.

-1 ≤ x ≤ 2: Correct

`(f(2)-f(-1))/(2-(-1))` [solve for f(2) and f(1)]

`(1-1)/(3)=(0)/(3) =0`

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-3 ≤ x ≤ -2: Incorrect

`(f(-2)-f(-3))/(-2-(-3))` [solve for f(-2) and f(-3)]

`(5-11)/(1) =(-6)/(1)=-6`

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-5 ≤ x ≤ 5: Incorrect

`(f(5)-f(-5))/(5-(-5))` [solve for f(5) and f(-5)]

`(19-29)/(10) =(-10)/(10) =-1`

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2 ≤ x ≤ 3: Incorrect

`(f(3)-f(2))/(3-2)` [solve for f(3) and f(2)]

`(5-1)/(1) =(4)/(1) =4`

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After going through all the intervals, we found that A was the only one that has an average rate of change of 0.