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Mathematics 16 Online
ThatCreepyBoy:

For the graphed exponential equation, calculate the average rate of change from x = −4 to x = 4.

ThatCreepyBoy:

1 attachment
Vocaloid:

rate of change formula is f(x_2) - f(x_1) / (x_2 - x_1) where x_1 = -4 and x_2 = 4

Vocaloid:

so first find the value of f(x) at -4 and at 4

ThatCreepyBoy:

How do i find the value o.o Sorry I get confused easily. Math isn't my strong suit v.v

Vocaloid:

for x = 4, put your eye on the origin and move to the right 4 units then go down until you touch the graph then look to the left to find the y-value

Vocaloid:

|dw:1501516307686:dw|

ThatCreepyBoy:

Ok

ThatCreepyBoy:

I have to go down all the way to the point where the point is right?

Vocaloid:

yes

ThatCreepyBoy:

Oh I got -5 is that right o.o

Vocaloid:

good, now we do the same with x = -4

ThatCreepyBoy:

Okie :O

ThatCreepyBoy:

Is it 4...

Vocaloid:

|dw:1501516698636:dw|

ThatCreepyBoy:

0

Vocaloid:

good, so the top part of our formula is -5 - 0 = -5 the bottom part of our formula is 4 - (-4) = 8 so your answer is -5/8

ThatCreepyBoy:

Okie ^_^, I need to study more in math XD, and by studying I mean learning how to do the math my way :O. Thank you so much!

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