Question

What is the average rate of change of f over the interval (-5,0]? Give an exact number.

Answer 1

Answer:

Average rate of change = 0.6

Step-by-step explanation:

Average rate of change of a function between x = a and x = b is given by,

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

From the graph attached,

f(-5) = 0

f(0) = 3

Average rate of change of the graph between x = -5 and x = 0,

Average rate of change = $\frac{3-0}{0-(-5)}$

                                        = $\frac{3}{5}$

                                        = 0.6

Therefore, average rate of change of the given function between x = -5 and x = 0 is 0.6.