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

Answer:

2

Step-by-step 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 = $\frac{f(b) - f(a)}{b - a}$

Where,

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

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

Plug in the values into the formula:

$= \frac{4 - 0}{0 -(-2)}$

$= \frac{4}{2} = 2$

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