[BlindMath] Average Rate of Change problem

[Doug and Molly Miron]

Good day Elise,


The average of a function over an interval is the integral of the 
function divided by the length of the interval.  In this case, the 
function being averaged is the derivative of f(x), so the integral of 
the derivative is the original vunction.  Therefore, the answer is 
(f(x_2)-f(x_1))/(x_2-x_1).  I don't know the rules for your pre-calculus 
course so I don't know if you're allowed to use this reasoning and have 
to take some other, more complicated, approach such as a 
finite-difference approximation.


Regards,

Doug Miron


On 8/18/2018 6:54 AM, Elise Berkley via BlindMath wrote:
> Hello, mathematicians.
> In my precalc class, we are studying "average rate of change." I am so
> stuck and I am asking for help with this problem.
> 	Find the average rate of change of f(x) = x2 – x + 4 from x_1  = 2 to x_2=6 .
> If anyone can help me with this, I would greatly appreciate it. Thanks!
> Elise Berkley
>
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