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  • 22-06-2020
  • Mathematics
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F(x)=x^2+10 what is the average rate of change of f over the Interval [-2,-1]?

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MathTutors
MathTutors MathTutors
  • 22-06-2020

Answer: -3

Step-by-step explanation:

The average rate of change is [tex]\frac{f(b)-f(a)}{b-a}[/tex]. All we have to do is to plug in our values.

a=-2

b=-1

f(b)=f(-1)=(-1)²+10=11

f(a)=f(-2)=(-2)²+10=14

With our values listed, all he have to do is to plug them in.

[tex]\frac{11-14}{-1-(-2)} =\frac{-3}{1}=-3[/tex]

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