Assignment 11 Problem 4 for Kanita
For this assignment, I will investigate
Let's consider only the graphs of the
where k is any integer and n
is an even integer (n not equal to 0).
All the graphs are ellipses that are
tangent to and lie inside the circle
They all cross the x and y-axes.
Now, consider the graphs of the form
These graphs were interesting. Let's
examine a few.
When the denominator is 4, the graph
does not touch he x-axis again after it crosses it once. The other
graphs all touch the x-axis again and stop.
Let's observe a few more.
I reaally don't know what to make of
these. They appear to have asymptots but one graph crosses the
asymptote. The graph intersects itself. They both have a partial
piece to the graph that does not intersect the x-axis and then
a piece along the asymptote. Interesting!