Question

Use the graph of f(x) to evaluate the following:

The average rate of change of f from x=0 to x=4 is_____.

Give your answer as an integer or reduced fraction

Answer 1

-5/4

Explanation:

The average rate of change of f from x=0 to x=4 is_____.

This means we are being asked to evaluate
`(f(4)-f(0))/(4-0)`.

To do this we will need to find f(0) and f(4).

f(0) means what y-coordinate corresponds to x=0 on the curve. Find x=0, the curve is above there, go straight up and see y=5 there. This means f(0)=5.

f(4) means what y-coordinate corresponds to x=4 on the curve. Find x=4, then curve is above there, go straight up and see y=0 there. This means f(4)=0.

So we have:

`(f(4)-f(0))/(4-0)=(0-5)/(4-0)=(-5)/(4)`.