Question

Let f(x)=(x−5)2. Find the average rate of change of f(x) with respect to x from x=a to x=a+h if h≠0. Simplify your answer as much as possible.

Answer 1

Oops supposed to be (x-5)^2

Answer 2

\[\frac{f(x_1)-f(x_2)}{x_1-x_2}\]
You are given
\[x_1=a+h, x_2=a\]
Plug these in and simplify

Answer 3

\[\frac{f(a+h)-f(a)}{a+h-a}\]

Answer 4

what is f(a+h)?

Answer 5

I have no idea sadly...

Answer 6

Replace the x's in you function with a+h