Question

Given f(x)= 17-x^2, what is the average rate of change in f(x) over the interval [1,5]?

Answer 1

-6

Explanation:

∆f/∆x = ( f(5) - f(1) ) / ( 5 - 1 ) =

= ( -8 - 16 ) / 4 = -24 /4 = -6

The delta "∆" symbol means the change of something.

∆X = Xfinal - Xinitial