What is the average rate of change from x=-3 to x=3?

Question

anonymous · Answer

well do you know the output of each input?

radar · Answer

When you say rate, what was the time that it took for that value of change?

anonymous · Answer

No I don't. I have no idea how to do this :/

anonymous · Answer

The question has this graph with it..

anonymous · Answer

ok well I can hep you but to answer this question you need to know the output/time...does it saw anything about time? and I will check the graph now.

anonymous · Answer

No, it doesn't say anything about the time.

anonymous · Answer

hmmm ok write the whole question down and let me see if I can work it out

anonymous · Answer

What is the average rate of change from x = −3 to x = 3?

−1

0

1

6

radar · Answer

In this case use delta y divided by delta x

radar · Answer

delta y is -1 to +5, and of course delta x is given.

anonymous · Answer

So I would just divide the two numbers? I'm confused...

anonymous · Answer

hmm ok am not sure what delta is but I know the the average rate of change formula is 

       f(b)-f(a)/B-A

radar · Answer

(y1-y2)/(x1 - x2)

radar · Answer

Just like slope
(-1-5)/(-3-3)
-6/-6 = ??

radar · Answer

delta means "change in"    like change in y over change in x.

anonymous · Answer

oh ok

anonymous · Answer

So that means that the answer is 1?

radar · Answer

If I was working it, I would agree.

anonymous · Answer

Okay, so now it says that i need to find the average rate of change for x=-3 to x=-4. I would just do the same formula you used?

anonymous · Answer

Do I need to look at the graph at all when doing these problems?

radar · Answer

Same formular, but new y value for x=-4, and of course new x value.  that graph starts to run away I want to look at it and see what y is when x= -4

radar · Answer

Of course you must look at the graph to get the values of y.

anonymous · Answer

This is the graph for that problem

radar · Answer

What is the y value when x = -3, let x1 be -3.  what is y1?

anonymous · Answer

-1?

radar · Answer

No, look where the graph point is on the curve at x=-3, it is negative, but not a 1, remember the y values or the vertical designations.

anonymous · Answer

Oh okay.

radar · Answer

The -1 will work for the point where x = -4   Do you see that now?

anonymous · Answer

Yes, I do. I think I got it now, thank you so much for your patience!

radar · Answer

X1 = -3, Y1 = -3 X2 = -4, Y2 = -1 those are the two points, be careful with signs the slope (rate of change) formula is (Y1-Y2)/(X1-X2)

anonymous · Answer

Okay, thank you!