Question

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

Answer 1

Answer:

12

Step-by-step explanation:

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

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

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

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

$\frac{f(5)-f(3)}{5-3} = \frac{37 - 13}{2} = \frac{24}{2} = 12$