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!