Extreme Value Theorem for Constant Function y=1

[vikcool812]

How is Extreme Value Theorm correct for a constant function such as y=1 , where is the maximum and minimum?

 

[lurflurf]

The minimum and maximum are every where.
Recall that we say m is the minimum of f on a set A if it is true that
there exist a in A such that
f(a)=m and
m<=f(x) for all x in A

If we have for example
f(x)=11 for [-10,10]
we would say f has minimum 11 on [-10,10]
depending what we were trying to do we would might further say
The minimum of f is 11 and is achived for all x such that -10<=x<=10.

 

[vikcool812]

Thanx man! i got it.