Question

Given the function defined in the table below, find the average rate of change,

in simplest form, of the function over the interval 12 ≤ ≤ 36.
0
12
36
48
60
37
34
31
28
25
22

Answer 1

The average rate of change of
`f(x)` on
`12\le x\le36` is the difference quotient

`(f(36) - f(12))/(36 - 12) = (28 - 34)/(24) = \boxed{-\frac14}`