Is This Calculation of Average Rate of Change Correct?

AI Thread Summary
The discussion focuses on calculating the average rate of change of the function f(x) = x^2 - 2x from 1 to x. The initial calculation presented involves the formula for the average rate of change, which simplifies to [(x^2 - 2x + 1)]/(x - 1). Participants are asked to verify the correctness of this calculation. Further simplification of the fraction is suggested, indicating that the expression can be reduced. The conversation emphasizes the importance of accurate calculations in determining the average rate of change.
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Homework Statement


a)find the average rate of change of f from 1 to x:

f(x) - f(1)
----------- , x ≠1
x-1

given f(x) = x^2 - 2 x

Homework Equations


The Attempt at a Solution



RoC(rate of change)=
(x^2 - 2x) - [(1)^2 -2(1)]
-------------------------------
(x-1)
2. By simplifying the equation,
RoC = [(x^2 -2x+1)]/(x-1)


Can anyone check to see if this is right?

Homework Statement


Homework Equations


The Attempt at a Solution

 
Last edited:
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You can further simplify the fraction [(x^2 -2x+1)]/(x-1).
 

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