anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Oops supposed to be (x-5)^2
myininaya
  • myininaya
\[\frac{f(x_1)-f(x_2)}{x_1-x_2}\] You are given \[x_1=a+h, x_2=a\] Plug these in and simplify
myininaya
  • myininaya
\[\frac{f(a+h)-f(a)}{a+h-a}\]

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myininaya
  • myininaya
what is f(a+h)?
anonymous
  • anonymous
I have no idea sadly...
myininaya
  • myininaya
Replace the x's in you function with a+h
myininaya
  • myininaya
|dw:1332297682069:dw|
myininaya
  • myininaya
\[f(a+h)=(a+h-5)^2\] Eventually you will need to multiply this out |dw:1332297737014:dw| \[f(a)=(a-5)^2\]
myininaya
  • myininaya
\[\frac{(a+h-5)^2-(a-5)^2}{a+h-a}\]
myininaya
  • myininaya
You will need to multiply out (a-5)^2 too Then see if anything simplifies in the top And do the same for the bottom
myininaya
  • myininaya
Then there may be a common factor for top and bottom so you may be able to cancel (I'm sure you will :p)

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