Question

Find the average rate of change for f(x)=x^2-3x-10 from x=4 to x=6

Answer 1

7

Explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

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

here [ a, b ] = [4, 6 ]

f(b) = f(6) = 6² - 3(6) - 10 = 36 - 18 - 10 = 8

f(a) = f(4) = 4² - 3(4) - 10 = 16 - 12 - 10 = - 6

Hence

average rate of change =
`(8-(-6))/(6-4)` =
`(14)/(2)` = 7