http://prntscr.com/bdltgc alright someone help me here please

Question

mjdennis · Answer

Do you have any thoughts here?

tabpernick · Answer

I cant really say that i do. I'm really confused.

mjdennis · Answer

Average rate of change is, basically, the slope between two points.  Give me a minute to put a formula in here.

mjdennis · Answer

$$A(x) = \frac{ f(b)-f(a) }{ b - a }$$

tabpernick · Answer

so the equation for my problem would be ?

mjdennis · Answer

One of your points is x=b and f(x) = f(b).  Which one do you want to call b?  Either one will do...

tabpernick · Answer

3?

mjdennis · Answer

OK, and f(3) is what?

tabpernick · Answer

what do you mean? im sorry!

mjdennis · Answer

Looking at the graph:  the graph shows 'x' on the horizontal axis, so vfor every value of 'x' there is a value of f(x) measured in the up-down direction.  when you go to x=3, what is the value in the up-down, or 'y', or 'f(3)' firection?

mjdennis · Answer

I mean 'direction'

OR...

use the equation in the picture:  What is -(5)^0 +2   ?

tabpernick · Answer

it's 1 ?

tabpernick · Answer

correct?

tabpernick · Answer

@mjdennis

mjdennis · Answer

Yes.  So now do 'a' and f(a)

tabpernick · Answer

how?

mjdennis · Answer

Same way we just did'b' and f(b).

One of the two x-values was 3.  From there you found f(3) = 1.  
The other x-value is 'a', and you can find f(a) either by plugging in to the formula or reading from the graph.

Finding numbers from a graph and matching them correctly to a formula seems like something you should know by the time you get to solving problems like this.  Can you describe the problem you are having?

mjdennis · Answer

We should now get ( 1 - f(a) ) / (3 - a)

Do you have a and f(a) yet?

tabpernick · Answer

what equation do i use to find a? what is the equation?

mjdennis · Answer

I have to go.

There is no 'equation' to find a.  You were given a problem to find "average rate of change between x=3 and x=4"  I gave you a formula for the answer that needed two x-values, but the formula calls them 'a' and 'b'.  You picked b = 3, so isn't a = 4 ???
Now you just need f(4), the same way you found f(3)

tabpernick · Answer

the solution to ( 1 - f(4) ) / (3 - 4) is  4f-1 ?correct?

mjdennis · Answer

No.  The answer is going to be a number with a sign, not an expression.

tabpernick · Answer

the average rate of change is 1 correct!?? thats my answer!?