The graph of the function f* is shown here. What is the average rate of change of f*` on the interval [-4, 6]? A)1/5 B)2/5 C)3/5 D)4/5

Question

The graph of the function
`f*` is shown here. What is the average rate of change of


`f*`` on the interval [-4, 6]? A)1/5 B)2/5 C)3/5 D)4/5

Answer 1

According to the plot,
`f(-4)=0` and
`f(6)=2`. So the average rate of change of
`f(x)` on the interval
`[-4,6]` is

`(f(6)-f(-4))/(6-(-4))=(2-0)/(6+4)=\frac2{10}=\frac15`

and the answer is A.