Question

The graph of a function f is shown. Use the graph to estimate the average rate of change from x=-2 to x=0

Answer 1

2

Explanation:

Given:

The interval, x = -2 to x = 0.

Required:

Average rate of change from x = -2 to x = 0.

SOLUTION:

From the graph,

If x = -2, f(-2) = 0.

If x = 0, f(0) = 4

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

Where,

`a = -2, f(a) = 0`

`b = 0, f(b) = 4`

Plug in the values into the formula:

`= (4 - 0)/(0 -(-2))`

`= (4)/(2) = 2`

Average rate of change from x = -2 to x = 0 is 2.