# Maximum and minimum~ help

• Dec 3rd 2011, 08:27 PM
Oxidized
Maximum and minimum~ help
State two types of functions that you know that do not have a maximum or a minimum (unless the domain is restricted to some interval)

Correct me if I am wrong, is it:

f(x) = √x (sqrt)

f(x) = x

f(x) = 2^x

I don't understand when it says "unless the domain is restricted to some interval."

Thank you~

Edit: Posted in wrong section, mods please move this thread to pre-calc section~
• Dec 3rd 2011, 09:32 PM
CaptainBlack
Re: Maximum and minimum~ help
Quote:

Originally Posted by Oxidized
State two types of functions that you know that do not have a maximum or a minimum (unless the domain is restricted to some interval)

Correct me if I am wrong, is it:

f(x) = √x (sqrt)

f(x) = x

f(x) = 2^x

I don't understand when it says "unless the domain is restricted to some interval."

Thank you~

Edit: Posted in wrong section, mods please move this thread to pre-calc section~

Every function on a finite closed interval has a maximum on the interval, either a calculus like maximum in the interior of the interval, or a maximum at an end point of the interval.

CB