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Mathematics 12 Online
OpenStudy (anonymous):

What is the average rate of change from x = -4 to x = 1? -3 -1 0 1

jimthompson5910 (jim_thompson5910):

Use this average rate of change formula \[\Large m = \frac{f(b)-f(a)}{b-a}\] In this case, a = -4 and b = 1.

OpenStudy (anonymous):

So does that make it 1? Or...? Sorry, I am pretty bad at this. Still trying to get the hang of it.

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

what function f(x) are you given?

OpenStudy (anonymous):

I'm sorry, I still don't understand it real well. Does this graph help?

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

yes it does

jimthompson5910 (jim_thompson5910):

when x = -4, what is the value of y?

OpenStudy (anonymous):

I may be completely off but is it -5? I have a feeling I am wrong, so could you help me walk through it?

jimthompson5910 (jim_thompson5910):

Locate x = -4 on the x axis. Then draw a vertical line through x = -4 where does that vertical line cross the curve?

OpenStudy (anonymous):

Well if I drew a vertical line straight up and down, wouldn't it just go across 4?

jimthompson5910 (jim_thompson5910):

so what point lies on the parabola when x = -4 ?

OpenStudy (anonymous):

I'm afraid I don't know... or I don't get what that is. Sorry.

jimthompson5910 (jim_thompson5910):

what is the point, in the form (x,y), where the vertical line you drew and the parabola cross

jimthompson5910 (jim_thompson5910):

|dw:1418607774257:dw|

jimthompson5910 (jim_thompson5910):

|dw:1418607787216:dw|

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