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Mathematics 15 Online
OpenStudy (anonymous):

Calculate the average rate of change for the function f(x) = −x4 + 4x3 − 2x2 + x + 1, from x = 0 to x = 1.

OpenStudy (anonymous):

\[\frac{ F(b)-F(a) }{ b-a }\]

OpenStudy (anonymous):

1 is your B, and 0 is your A. Plug both values into the equation to find your Y values.

OpenStudy (anonymous):

thank you!

OpenStudy (anonymous):

Mhm c:

OpenStudy (anonymous):

what is f then?

OpenStudy (anonymous):

Its The Y values of each number.

OpenStudy (anonymous):

would it be 0?

OpenStudy (anonymous):

Did you plus 0 into the equation to find its Y? Okay, plug each x in to find their Y, then tell me.

OpenStudy (anonymous):

i got it! 2

OpenStudy (anonymous):

Okay 2 is the y value for which x? 0?

OpenStudy (anonymous):

i solved it, its -4. So your Average rate of change is -4

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