Help!! Medal & Fan?!?
Note: this is precalc stuff, so its not that easy
What is the average rate of change from x = -1 to x = 2?

Question

Help!! Medal & Fan?!? 
Note: this is precalc stuff, so its not that easy
What is the average rate of change from x = -1 to x = 2?

anonymous · Answer

depends largely on the function

fibonaccichick666 · Answer

you are missing some info.  Can you post the full question?

anonymous · Answer

Yes I am screen shotting the graph in a sec

anonymous · Answer

attachment

anonymous · Answer

Does anyone know how to do this??

anonymous · Answer

The easiest way would be to find the slope between the two points

fibonaccichick666 · Answer

rate of change=derivative or slope

anonymous · Answer

How? I know rise/run, but the line is curved?

anonymous · Answer

Right, so if you wanted the slope at any given point, you could take the derivative and that would give you the slope at each instantaneous point. However, since the question only asks for the "average" rate of change between the two points, thats equivalent to the slope between them

fibonaccichick666 · Answer

it wants the average change, that just means the change in slope between a and b.

anonymous · Answer

So I find the multiple slopes and average them out?

anonymous · Answer

In other words, the curviness is lost in the average. You have some steep slopes, some not so steep slopes, some negative, some positive. But for it to start at a and end at b, they have to balance out to the slope between the two!

fibonaccichick666 · Answer

so slope(a)-slope(b)/2=avg

anonymous · Answer

ignore the curve entirely after you find the second coordinate of each point
compute the slope of the line connecting those two points and you are done

fibonaccichick666 · Answer

the answer is not intuitive

anonymous · Answer

So the first slope would then be 3/1 and the second -6/3?

anonymous · Answer

there are not two slopes between the points, only one

anonymous · Answer

oh..

anonymous · Answer

So I get to the two pints and ignore the curve?

anonymous · Answer

*points

fibonaccichick666 · Answer

(the two points way is if you know the derivative, sorry)

fibonaccichick666 · Answer

just find the slope of ab is what sat is saying

anonymous · Answer

So the slope would be -1?

anonymous · Answer

Because -3/3?

fibonaccichick666 · Answer

I buy that

anonymous · Answer

Okay, thanks! Unfortunately, I can't give a medal toe everyone who helped, but I'll fan all

anonymous · Answer

Thanks again!