Question

What is the average rate of change over the interval [0, 4]?

Answer 1

`(3)/(4)`

Explanation:

Given:

Interval, [0, 4]

Required:

Average range of change over [0, 4]

SOLUTION:

Find f(0) and f(4) from the graph:

`f(0) = 0` (when x = 0, y = 0)

`f(4) = 3` (when x = 4, y = 3)

Average rate of change =
`(f(b) - f(a))/(b - a)`

Where,

`a = 0, f(a) = 0`

`b = 4, f(b) = 3`

Plug in the values into the formula for average rate of change.

`= (3 - 0)/(4 - 0)`

`= (3)/(4)`

Average rate of change
`= (3)/(4)`