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

Answer:

Step-by-step explanation:

Average rate of change for a given function is given by

$\frac{f(b)-f(a)}{b-a}$

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 = $\frac{f(2)-f(-1)}{2-(-1)}$

= $\frac{5-(-1)}{2-(-1)}$

= $\frac{6}{3}$

Average rate of change = 2