Question

PLZZZ HELP

Find the average rate of change of h(x) = 2x² – 7x from x=2 to x=5.
Simplify your answer as much as possible.

Answer 1

The average rate of change of h(x) in the given interval is 7.

Explanation:

When we want to find the average rate of change of a function f(x), in an interval a < x < b, we just need to calculate:

`r = (f(b) - f(a))/(b - a)`

Here we have:

h(x) = 2*x^2 - 7*x

And we want to find the average rate of change between x = 2 and x = 5

This will be:

`r = (h(5) - h(2))/(5 - 2) = ((2*5^2 - 7*5) - ( 2*2^2 - 7*2))/(3) = (15 - (-6))/(3) = (21)/(3) = 7`

The average rate of change of h(x) in the given interval is 7.