[BlindMath] Average Rate of Change pr
easjolly at ix.netcom.com
Sun Aug 19 21:37:27 UTC 2018
These answers got me confused and I've studied a lot of calculus. But
remember this is pre-calculus.
First the average rate of change of a function over a certain interval is
not the same as the average of the function itself over that same interval.
Finding the average rate of change just requires a simple formula whereas
find the average of the function is something more complex one will learn
about in calculus.
Remember that the notation f(x) means a general formula for calculating y if
you know x whereas f(x_1) or f(x_2) means the value of y at the specific
points x_1 or x_2.
The formula for the average rate of change defined to be
a = [f(x_2) - f(x_1)]/(x_2 - x_1)
It would be nice to understand why this formula is correct but first you
should memorize the formula and be able to use it.
In this case the function is f(x) = x^2 - x + 4.
The value of this function when x = 2 is 6.
The value of this function when x = 6 is 34.
(Being able to plug numbers into formulas and find the result is one of the
things you are supposed to be comfortable with.)
so a = (34 - 6) / (6 - 2 ) = 28/4 = 7.
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