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Finding the extreme function values.

I would like to know which is or are the best commands in 
order to find the highest and lowest function values in an interval.
What I need are not the maximums not the minimums of the 
function within the interval but the highest and lowest values.
In my search of the help files I couldn't find a simple way 
to do it because with maximize or minimize I don't get what I need.
I am an inexpert user so please excuse me for that.
Thank you,

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