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# Rational functions precalc

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### Rational functions precalc

1. 1. The Lame Joke of the day.. Why were the police officers at the restaurant? And now it’s time for.. They were doing a steak - out!
2. 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. 3. New Parent Function • The most basic rational function: x xf 1 )(
4. 4. Rational Functions have unusual looking graphs
5. 5. Example • Sketch, by hand: 2 3 )( x xf
6. 6. You try • Sketch, by hand: x x xf 1 )(
7. 7. More complicated example… • Sketch, by hand: 2 )( 2 xx x xf
8. 8. More complicated example… • Sketch, by hand: 2 )( 2 xx x xf
9. 9. You try • Sketch, by hand: 82 2 )( 2 xx x xf