SOLUTION: A function is given. Determine the average rate of change of the function between the given values of the variable. f(x) = 5 − x^2; x = 3, x = 3 + h Please help Thank

Algebra ->  Functions -> SOLUTION: A function is given. Determine the average rate of change of the function between the given values of the variable. f(x) = 5 − x^2; x = 3, x = 3 + h Please help Thank      Log On


   

Question 946300: A function is given. Determine the average rate of change of the function between the given values of the variable.
f(x) = 5 − x^2; x = 3, x = 3 + h
Please help
Thanks
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A function is given. Determine the average rate of change of the function between the given values of the variable.
f(x) = 5 − x^2; x = 3, x+h = 3 + h
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average rate = [f(x+h)-f(x)]/[(x+h)-x] = [f(x+h)-f(x)]/h
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= [5 - (3+h)^2]-(5-3^2))]/h
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= [5-[9+6h+h^2]--4]/h
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= [-4-6h-h^2+4]h
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= [-h^2-6h]/h
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= -h-6
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Cheers,
Stan H.
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