Question

What is the average rate of change of h(x) over the interval [4, 8]?

-2/3
-3/2
-2
-6

Answer 1

B

Explanation:

the average rate of change of h(x) in the interval [ a, b ] is

`(h(b)-h(a))/(b-a)`

here the [ a, b ] = [ 4, 8 ] , then

h(b) = h(8) = 3 ← point (8, 3 ) on graph

h(a) = h(4) = 9 ← point (4, 9 ) on graph

then

average rate of change =
`(3-9)/(8-4)` =
`(-6)/(4)` = -
`(3)/(2)`