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Rational functions precalc

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  • 1. The Lame Joke of the day.. Why were the police officers at the restaurant? And now its time for.. They were doing a steak - out!

2. Graphing Rational Functions by hand Find All intercepts. X intercepts : f(x) = 0 (Numerator = 0 ) Y intercepts: x = 0 Find and sketch ALL asymptotes using dashed lines. Plot points: Near x intercepts Near asymptotes 3. New Parent Function The most basic rational function: x xf 1 )( 4. Rational Functions have unusual looking graphs 5. Example Sketch, by hand: 2 3 )( x xf 6. You try Sketch, by hand: x x xf 1 )( 7. More complicated example Sketch, by hand: 2 )( 2 xx x xf 8. More complicated example Sketch, by hand: 2 )( 2 xx x xf 9. You try Sketch, by hand: 82 2 )( 2 xx x xf