SOLUTION: For the Function, find the Average Rate of change of f from 1 to x: f(x)-f(1) / (x-1) , x not equal 1 Cant find this in the book.. Can you help

Algebra ->  Functions -> SOLUTION: For the Function, find the Average Rate of change of f from 1 to x: f(x)-f(1) / (x-1) , x not equal 1 Cant find this in the book.. Can you help      Log On


   



Question 174600: For the Function, find the Average Rate of change of f from 1 to x:
f(x)-f(1) / (x-1) , x not equal 1
Cant find this in the book.. Can you help

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The average is the slope of the secant line joining the two points.
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For the Function,f(x)=x^3+x, find the Average Rate
of change of f from 1 to x:
f(x)-f(1) / (x-1) , x not equal 1
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[(x^3+x) - (1^3+1)]/[x-1]
= [x^3 + x -2] / [x-1]
= x^2 +x + 2
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Cheers,
Stan H.