Question

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

Answer 1

Average rate of change = 0.6

Explanation:

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

Average rate of change =
`(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 =
`(3-0)/(0-(-5))`

=
`(3)/(5)`

= 0.6

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