Hey guys,(adsbygoogle = window.adsbygoogle || []).push({});

I have learned that for a function f defined on an open interval I(a, b), an absolute extremum may not occur. Is this because the domain may take on every value greater than a or less than b without ever equaling a or b?

[EDIT]

Disregard the question above. I just realized. For a function such as f(x) = x^{2}, there is no absolute maximum because as x increases, f(x) increases indefinitely.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Functions and their Extrema

Loading...

**Physics Forums | Science Articles, Homework Help, Discussion**