Question

The average rate of change of a function f(x) = x2 between x = 3 and x = 5 is

average rate of change =
X
5-3
8

Help please thank you

Answer 1

average rate of change = 8

Explanation:

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

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

here the closed interval is [ 3, 5 } , then

f(b) = f(5) = 5² = 25

f(a) = f(3) = 3² = 9

Then

average rate of change =
`(25-9)/(5-3)` =
`(16)/(2)` = 8