I need a clearer definition of a bounded, continuous and closed function. The lecture Wendnsday wasnt real clear.
What I know, a function is bounded if it lives between two horizontal lines. An example would be the function f(x)=sin(x). Its bounded between 1 and -1.
I also know that its continuous, but why is it closed? What does that mean?
The function f(x)=1/x D=(0,1) is bounded and continuous on its Domain, is it closed?
A more clear explination would be greatly appreciated.