Are there any similar characteristics of the even exponent equations and the equations of odd exponents?
OF COURSE!
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Can we use our assumptions to generate answers of how the graphs
of and
will look?
Based on the graphs of
, we can
assume that
will take the form of a square or a figure that is
similar to a square. Why? Refer to graphs on the previous page.
is a circle
and
is
transforming into a square-like figure. Thus we can conclude the
same for
as
. Also, from our observation
of odd exponents, we can gather that
will follow the same
pattern of graphs
.
Let's check our assumptions.
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OUR HYPOTHESIS WAS ACCURATE!