But, students know that the graph will pass through (0,0) and (1,0).
But, one thing which is interesting is that the graph would not be symmetric.
Because we do not obtain the same y-values even if we put -x instead of
x. The differentiated function talks an important thing to students.
Since for any value of negative x the vlaues of y are always positive in the differentiated function , so all the tangent line should have positive slopes. More over, students can calculated some number of negative x-values and their y-values in the function . Therefore students will complete the graph of . The completed one is the following.
In fact, the left part of the graph was hand-made by using the drawing ability of Micro Soft Word. But, Students will have to have lots of information for the graph.