Question

What is the average rate of change for this function for the interval from x=3 to x=5?

Answer 1

12

Explanation:

The average rate of change of a function is the slope because

let
`g(x) = f'(x)`

`\frac{\int\limits^b_a {g(x)} \, dx }{b-a} = (f(b)-f(a))/(b-a)`

so we just need to calculate the slope of the function over the interval [3, 5]

`(f(5)-f(3))/(5-3) = (37 - 13)/(2) = (24)/(2) = 12`