SOLUTION: A function is given. Determine the average rate of change of the function between the given values of the variable.
f(x) = 6 − x2; x = 1, x = 1 + h
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Question 462141: A function is given. Determine the average rate of change of the function between the given values of the variable.
f(x) = 6 − x2; x = 1, x = 1 + h
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The average rate of change is simply the slope of the secant line through the two points (x,f(x)) and (x+h,f(x+h)), so:
\ -\ f(x)}{h})
\ =\ 6\ -\ x^2)
\ =\ 6\ -\ (x^2\ +\ 2xh\ +\ h^2) =\ 6\ -\ x^2\ -\ 2xh\ -\ h^2)
So:
}{h})
John
My calculator said it, I believe it, that settles it
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