Question

Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval

Answer 1

average rate of change = 1

Explanation:

the average rate of change of f(x) in the interval a ≤ x ≤ b , is

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

here the interval a ≤ x ≤ b is 5 ≤ x ≤ 7 , then

f(b) = f(7) = 8 [ ordered pair ( 7, 8 ) from the table ]

f(a) = f(5) = 6 [ ordered pair (5, 6 ) from the table ] , then

average rate of change =
`(8-6)/(7-5)` =
`(2)/(2)` = 1