APFIVE Properties of the Difference Quotient
All of the following statements regarding the difference quotient and the average rate of change are true EXCEPT:
A
When computing the average rate of change over a finite interval, the formula $$\frac{f(b)-f(a)}{b-a}$$ is used without taking a limit.
B
The difference quotient always requires the use of a limit to compute the average rate of change.
C
Although the derivative is found by taking the limit as h approaches 0, the unaltered difference quotient computes the average rate over an interval.
D
For a finite nonzero h, the difference quotient gives the slope of the secant line between two points.
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