How do you find the average rate of change of #f(x) = 4x^3 - 8x^2 - 3# from -5 to 2?

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Answer 1 · 2016-02-07T21:49:07

#100#

The average rate of change of a function on the interval #a# to #b# is

#"average rate of change"=(f(a)-f(b))/(a-b)#

Here, this gives us

#"average rate of change"=(f(-5)-f(2))/(-5-2)#

We can find the function values individually:

#f(-5)=4(-5)^3-8(-5)^2-3=-703#

#f(2)=4(2)^3-8(2)^2-3=-3#

Thus,

#"average rate of change"=(-703-(-3))/(-7)=(-700)/(-7)=100#