Question

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Answer 1

i believe the only thing you know for sure is the first one.

Answer 2

oh yeah I had problems with this one too. Joemath, would you mind if I asked for a concise explanation? Sorry

Answer 3

So we can calculate the average rate of change over that interval by using the old school slope formula:
\[\frac{y_2-y_1}{x_2-x_1} = \frac{f(3)-f(1)}{3-1} = \frac{7-2}{3-1} = \frac{5}{2}\]
Other than that, there is nothing else we can calculate.

We dont know anything about the average value of f because we dont know any of the values of f inbtween.

We dont know anything about f' either, could be concave up or down inbetween x = 1 and x = 3.

So the only thing we know for sure is the average rate of change.

Answer 4

thanks!