average rate of change

**blague** · Aug 16th 2008, 09:14 AM

The average rate of change of a functional between 2 and 7 is equal to 1/2. If f(2)=12, determine f(7). Provide a possible function for f.

**galactus** · Aug 16th 2008, 09:19 AM

Average rate of change is $\frac{f(b)-f(a)}{b-a}$

We have $\frac{f(7)-f(2)}{5}=\frac{1}{2}$

$\frac{f(7)-12}{5}=\frac{1}{2}$

Now, what is f(7)?.

**blague** · Aug 16th 2008, 09:31 AM

thanks for your answer galactus, but unforunately it's not what I'm looking for because I need to use an equation relating to calculus. I'm not sure if this is the equation.... lim f(x+h)-f(x) /h [what would x and h be??]

**wingless** · Aug 16th 2008, 09:55 AM

Originally Posted by blague

thanks for your answer galactus, but unforunately it's not what I'm looking for because I need to use an equation relating to calculus. I'm not sure if this is the equation.... lim f(x+h)-f(x) /h [what would x and h be??]

The limit formula you have is $\lim_{h\to 0} \frac{f(x+h)-f(x)}{h}$ and it's for instant rate of change, not average rate of change.

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