Reciprocals
Antiderivitives  Inverses  Quadratic  Derivatives Reciprocals

    Reciprocal functions are quite fun as they end up with a lot of asymptotes.  All of the reciprocal functions have an asymptotes at Y=0 as they all have a similar behavior to y=(1/x).  This is interesting because instead of looking at the origin rotational symmetry or reflections over the y-axis, this time the relationship is over the x-axis.  If you look at the original four sets of graphs that reflect over the x-axis they also reflect over the x-axis in the reciprocal graph as well.  Now you will note that four of the graphs here have asymptotes at the one's and three's on the graph while the other four don't have those asymptotes.  The reason for this becomes obvious when you think about the zero's of the original funcitons.  Four of them didn't cross the x-axis so when you put that function on the bottom of a fraction and try to graph it, it won't have any real zero's for the denominator of the fraction.  That is why the two groups of four here have different behavior.