graph powers

The simplified equations you are having us do for the graphs are easy for me to understand.  The fact that no matter what number the power is, if it is a linear it goes straight through, if it is a even power it bounces off, or if it is an odd power besides 1 (linear) it curves through the point, It also makes since to me that depending on the degree of the function, which is found by adding all the exponents together, it either goes oppisite ways at the end or each end goes the same direction.