Question

Find the average rate of change for the given function from x=-1 to x=2.

Answer 1

I would say its A but I'm not 100%

Answer 2

Explanation:

Average rate of change for a given function is given by

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

For our question a is -1 and b is 2.

Now since points (-1,-1) and (2,5) are on the graph given it means

f(-1)=-1 and f(2)= 5

So using the formula and given values we get

Average rate of change =
`(f(2)-f(-1))/(2-(-1))`

=
`(5-(-1))/(2-(-1))`

=
`(6)/(3)`

Average rate of change = 2