SOLUTION: How do you graph a function (hyperbola, ellipse, rational etc.) without using a graphing calculator?

Question 461147: How do you graph a function (hyperbola, ellipse, rational etc.) without using a graphing calculator?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
First determine whether the function is a hyperbola or ellipse or step value function or whatever it could be. Then, find any distinguishing points on the function (for a polynomial it could be max. or min values, for a rational function it could be asymptotes, for an ellipse it could be points on the major/minor axes, etc.). If you are graphing a rational function with multiple asymptotes, it helps to know whether the asymptote is reached from the bottom or top (it might help to know how to find limits first). For an ellipse or circle, know the center and radius or axes.
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