checking our Hypothesis
 
Return to Previous Page

Return to Class Page
Return to EMAT 6680 Page1.1.htmlhttp://jwilson.coe.uga.edu/EMAT6680Su07/McKee/Molly.htmlhttp://jwilson.coe.uga.edu/EMT668/EMT668.htmlshapeimage_1_link_0shapeimage_1_link_1shapeimage_1_link_2
To the left are the graphs of all three equations with even exponents.  Our original equation, x2+y2=1, is green, x4+y4=1 is red, and the newest equation, x24+y24=1, is blue.
 
As we can see it looks as though our hypothesis was correct.  The graph of x24+y24=1 still has round corners, but is certainly more square-like than the other two graphs.
To the right are the graphs of all three equations with odd exponents.  Our original equation, x3+y3=1, is green, x5+y5=1 is red, and the newest equation, x25+y25=1, is blue.
 
As we can see it looks as though our hypothesis was correct.  The graph of x25+y25=1 is still a line with a round portion, but is certainly more leveled off and ledge-like than the other two graphs.