Question

Which function has an average rate of change of -4 over the interval (-2, 2];A.-2-112olopir)125-3-4B.-2-1012mir)-12-5-4-34Ос.-2--1012gir)-400-4-12D.r-2-1012nir)-60006

Answer 1

see photo

Explanation:

Plato/Edmentum

Answer 2

The average rate of change is given by:

`r=(f(b)-f(a))/(b-a)`

For p(x):

`r=(p(2)-p(-2))/(2-(-2))=(-4-12)/(2+2)=(-16)/(4)=-4`

For m(x):

`r=(m(2)-m(-2))/(2-(-2))=(4-(-12))/(2+2)=(16)/(4)=4`

For q(x):

`r=(q(2)-q(-2))/(2-(-2))=(-12-(-4))/(2+2)=(-8)/(4)=-2`

For n(x):

`r=(n(2)-n(-2))/(2-(-2))=(6-(-6))/(2+2)=(12)/(2)=6`

Therefore, the function which has an average rate of change of -4 over the interval [-2,2] is p(x).