F.IF.4

[csteadman]

When dealing with increasing and decreasing functions as in F.IF.4, there seems to be a debate in the field. For example, do you include the turning point of a quadratic in the interval where a function is increasing or decreasing?

Most teachers seem to exclude this point and justify the decision by saying a function is neither increasing nor decreasing at the turning point. But teachers of calc and above seem to disagree and use max and mins as part of the increasing and decreasing intervals [a,b].

Any thoughts?

[Bill McCallum]

I agree with the calculus teachers! After all, for $f(x) = x^2$, it is true that $f(x) < f(y)$ for any $x

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