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:
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 = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
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 = [tex]\frac{f(0)-f(-2)}{0-(-2)}[/tex]
= [tex]\frac{4-0}{2}[/tex]
= 2
Average rate of change of the given function between x = -2 and x = 0 is 2.