APFIVE Properties of Increasing Functions
I.
A function is increasing on an interval if for all a and b in that interval with a < b, we have $$f(a) < f(b)$$.
II.
If a function is increasing on an interval where it is differentiable, then its derivative is always positive.
III.
A function with a positive average rate of change over an interval must be increasing on that interval.
Which of the statements is/are true?
A
Only statements I and III are true.
B
Only statement I is true.
C
All statements are true.
D
Only statements I and II are true.
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