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Unformatted text preview: nd again, no symmetry here either.
This function has no symmetry of any kind. That’s not unusual as most functions don’t have any
of these symmetries.
[Return to Problems] (e) x 2 + y 2 = 1
Check x-axis symmetry first. x2 + ( - y ) = 1
2 x2 + y2 = 1
So, it’s got symmetry about the x-axis symmetry.
Next, check for y-axis symmetry. (-x) 2 + y2 = 1 x2 + y2 = 1
Looks like it’s also got y-axis symmetry.
Finally, symmetry about the origin. (-x) + (- y)
2 2 =1 x + y =1
2 2 So, it’s also got symmetry about the origin.
Note that this is a circle centered at the origin and as noted when we first started talking about
symmetry it does have all three symmetries.
[Return to Problems] © 2007 Paul Dawkins 237 http://tutorial.math.lamar.edu/terms.aspx College Algebra Rational Functions
In this final section we need to discuss graphing rational functions. It’s is probably best to start
off with a fairly simple one that we can do without all that much knowledge on how these work.
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- Spring '12