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:

Average rate of change = 2

Step-by-step explanation:

Formula to get the rate of change of a function between x = b and x = a is,

Rate of change = $\frac{f(b)-f(a)}{b-a}$

We have to calculate the average rate of change between x = -2 and x = 0

From the graph attached,

At x = -2,

f(-2) = 0

At x = 0,

f(0) = 4

Therefore, average rate of change = $\frac{f(0)-f(-2)}{0-(-2)}$

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

                                                          = 2

Average rate of change of the given function between x = -2 and x = 0 is 2.