Here it is process for graphing a rational function 1

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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 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. Let’s sketch...
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