I ihatecalc New member Joined Sep 11, 2006 Messages 22 Sep 14, 2006 #1 I have a bunch of problems like this to solve. if i figure out how to do one, i'm sure i'll see able to do the others. It states: If f(1)=2 and the average rate of change of f from x=1 to x=5 is 3, what's f(5)?
I have a bunch of problems like this to solve. if i figure out how to do one, i'm sure i'll see able to do the others. It states: If f(1)=2 and the average rate of change of f from x=1 to x=5 is 3, what's f(5)?
pka Elite Member Joined Jan 29, 2005 Messages 11,978 Sep 14, 2006 #2 \(\displaystyle \L \frac{{f(5) - f(1)}}{{5 - 1}} = \frac{{f(5) - 2}}{4} = 3\) Solve for f(5).
I ihatecalc New member Joined Sep 11, 2006 Messages 22 Sep 14, 2006 #3 thank you! what is the name of that equation? (like.. what is it used to find?)
pka Elite Member Joined Jan 29, 2005 Messages 11,978 Sep 14, 2006 #4 The average rate of change of \(\displaystyle f(x)\) on \(\displaystyle \[ a,b \]\) is \(\displaystyle \L \frac{{f(b) - f(a)}}{{b - a}}\).
The average rate of change of \(\displaystyle f(x)\) on \(\displaystyle \[ a,b \]\) is \(\displaystyle \L \frac{{f(b) - f(a)}}{{b - a}}\).
