For a bounded functions, relation b/w t and constant M

Question

In a Bounded value function what is the relation b/w time(t) and constant M

 

i.e., either the value of M is greater or lesser than the value of time range?

Answer 1

If you look on this link:

https://en.wikipedia.org/wiki/Bounded_function

 

and compare the definition with your question, time, t could be considered the x-axis.

 

|f(t)| <= M

 

that is, in order for f(t) to be called a bounded function of t, it's absolute value has to be less than a real number, M.  Otherwise, it is unbounded.

 

It could be bounded on upper or lower side of the t axis in the domain and bounded by value of the function on the upper or lower side in the range.

 

Do you get what I am saying?