Question

What is the average rate of change of f over the interval [3,4]?

Answer 1

4

Explanation:

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

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

Here [ a, b ] = [ 3, 4 ] , then

f(b) = f(4) = - 1 ← from table

f(a) = f(3) = - 5 ← from table , then

average rate of change =
`(-1-(-5))/(4-3)` =
`(-1+5)/(1)` = 4