Problem Posted Below:
Could really use the assistance of anyone who is available.

Question

anonymous · Answer

(A) Make a table of values rounded to two decimal places for the function $$f(x)=e ^{x}$$ for x=1,1.5,2,2.5,3. Then use the table to answer parts (B) and (C) 
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(B) Find the average rate of change of f(x) between x=1 and x=3.

(C) Use average rates of change to approximate the instantaneous rate of change of f(x) at x=2.

anonymous · Answer

So i got Part A done with and im onto Part B, I believe i use the formula:$$\frac{ f(x+h)-f(x) }{ h }$$ but not entirely understanding how to use this equation.

anonymous · Answer

so i looked at it a bit more and think im on the right track, i got my formula to equal $$\frac{ e ^{(x+h)}-e ^{(x)} }{ h }$$ and i inserted x=1 and x=3 into the equation getting:$$f(1)=\frac{ e ^{(1+h)} -e ^{1}}{ h }$$ and $$f(3)=\frac{ e ^{(3+h)}-e ^{(3)} }{ h }$$ but not sure what im supposed to do from here

anonymous · Answer

I found that $A=\frac{f(3)-f(1)}{3-1}$

anonymous · Answer

well thats to find the instantaneous velocity i believe. im trying to find the average rate of change which my book says the formula for that is $$\frac{ f(x+h)-f(x) }{ h }$$

anonymous · Answer

Oh what is $h$?

anonymous · Answer

@cwrw238 do you have time to help me out with this problem?

anonymous · Answer

im not really sure actually, thats why im stuck i think