1. The problem statement, all variables and given/known data True or false: 1) If f:R->R is a monotonically decreasing function then every discontinues point of f has finate right and left limits which are unequal. 2) I is some finate segment where a<b and a,b in R. If every continues function defined in I has a maximum and a minimum then I is a closed (in other words [a,b]) segment. 2. Relevant equations 3. The attempt at a solution 1) I think this is true but how can I prove it? Can someone give me a push in the right direction? 2)True: f(x)=x is continues and defined in any segment but it only has a min and max in an closed one. Is that right? Thanks.