I have a few doubts about graphs ... and how variables of an equation or expression are going to look like on a graph .... ? are they only going to look like single points in graph ?? when we deal with the variable x .. do we deal it as an object ?? I mean .. most of the basic questions are like .. an object is moving through a space with velocity ... and its points in graph is varying at different points ... find or try to understand the velocity of the object x .. at a specific point ? what if the object is a bit large ... ? what I have in my mind sort of looks like these ... I was wondering how graphs of these things are plotted ?? do they make multiple points in the graph of the path of their motion ??? as in not simply a point ?? are they going to look like a messed up graph like this one ??? if so , which equations do i associate these advanced graphs with ???