, if we extend the domain of  f  to [0,1], then the function  f  has
minimum value 0 at x = 0 and maximum value 1 at x = 1 Infact, we have the following
results (The proof of these results are beyond the scope of the present text)
Every monotonic function assumes its maximum/minimum value at the end
points of the domain of definition of the function A more general result is
Every continuous function on a closed interval has a maximum and a minimum
value ANote  By a monotonic function f  in an interval I, we mean that f  is either
increasing in I or decreasing in I