SOLUTION: Find the average rate of change of fx=x²+7x-4 from x to x+h . Please show all of your work.

Algebra ->  Functions -> SOLUTION: Find the average rate of change of fx=x²+7x-4 from x to x+h . Please show all of your work.       Log On


   

Question 464430: Find the average rate of change of fx=x²+7x-4 from x to x+h . Please show all of your work.
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
The average rate of change of f(x) over the interval [x, x+h] is:
lim%28h-%3E0%2C+%28f%28x%2Bh%29-f%28x%29%29%2Fh%29, substituting for our equation we get:

factor h in the numerator we get:lim%28h-%3E0%2C+h%28h%2B2x%2B7%29%2Fh%29=lim%28h-%3E0%2C+%0D%0A%0D%0Ah%2B2x%2B7%29=2x%2B7