What is wrong with the following statement?
If the average rate of change of a function g(x) over the interval 2 ≤ x ≤ 8 is positive, then g(x) must be increasing over the interval.

Question

What is wrong with the following statement? 
If the average rate of change of a function g(x) over the interval 2 ≤ x ≤ 8 is positive, then g(x) must be increasing over the interval.

johnweldon1993 · Answer

MUST be? not at all...since this is just the AVERAGE rate of chance...there could be all kinds of numbers in between there...including negative "decreasing" ones...but when averaged with all the other numbers...get canceled out

johnweldon1993 · Answer

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that average rate of change *dumb I know lol* would be positive...because there are FAR more positive intervals than negative

anonymous · Answer

Oh, okay! I didn't even think of that. This is a free response essay question that stumped me on how to respond to. Thank you for the picture. It really helps clarify. :)