Question

The table of values represents a quadratic function.

What is the the average rate of change for f(x) from x=−5 to x = 10 ?

http://prntscr.com/j521fy

Answer 1

so the formula for rate of change from a to b is

[ f(b) - f(a) ] / (b - a)

applying this to your problem, using the boundaries x = -5 to x = 10 we would get

[ f(10) - f(-5) ] / [10 - (-5)] sorry if the formatting is unclear, I am happy to clarify this ^^

to find f(10) and f(-5) you will need to look at your table where x = 10 and where x = -5 and find the appropriate f(x) values

if you are having trouble with any of these steps or just want to check your answer, please let me know ^_^