What is the average rate of change between x and x + h for the function . Show your simplification.

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- August 3rd 2010, 11:53 AMilovemymathAverage Rate Of Change
What is the average rate of change between x and x + h for the function . Show your simplification.

- August 3rd 2010, 12:16 PMeumyang

Find f(x + h):

Plug f(x + h) and f(x) into

and simplify. - August 3rd 2010, 12:17 PMAckbeet
is incorrect. It should be

That's the slope of the secant line, which also happens to be equal to the average rate of change.

[EDIT] Typo fixed. - August 3rd 2010, 12:19 PMeumyang
Yes, of course. Fixed now.