2.6 Rational Functions Steps for Graphing guidelines.

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Presentation transcript:

2.6 Rational Functions Steps for Graphing guidelines.

y-int. (, ) x-int. (, ) Domain: Asymptote(s) let x = 0 to find y-int. 0 let y = 0 to find x-int.(s) none where is g(x) undefined if x is undefined at a number, there is a vertical asymptote at that number. x = 2 Compare the exponents. Do we have a horizontal at y = 0, a horz. at y = a/b, or a slant asymptote? Deg. of N < Deg. of D is horz. asymptote

x = 2 y = 0

y-int. (, ) x-int. (, ) Domain: Asymptote(s) none x = 0 H.A. x = 0 y = 2

y-int. (, ) x-int. (, ) Domain: Asymptote(s) (x-2)(x+1) 0 x = -1 x = 2 H.A. y = 0 b/c N < D x = -1 x = 2

y-int. (, ) x-int. (, ) (, ) Domain: Asymptote(s) Slant asymptotes (x-2)(x+1) V.A.x = 1 Slant asym. y = x x = 1 y = x

y-int. (, ) x-int. (, ) (, ) Domain: Asymptote(s) (x-3)(x+3) (x-2)(x+2) V.A. x = -2 x = 2 H.A

y-int. (, ) x-int. (, ) Domain: Asymptote(s) V.A. x = -1 H.A.

y-int. (, ) x-int. (, ) (, ) Domain: Asymptote(s)

y-int. (, ) x-int. (, ) (, ) Domain: Asymptote(s)

y-int. (, ) x-int. (, ) (, ) Domain: Asymptote(s)

y-int. (, ) x-int. (, ) (, ) Domain: Asymptote(s)

y-int. (, ) x-int. (, ) (, ) Domain: Asymptote(s)

y-int. (, ) x-int. (, ) (, ) Domain: Asymptote(s)

y-int. (, ) x-int. (, ) (, ) Domain: Asymptote(s)

y-int. (, ) x-int. (, ) (, ) Domain: Asymptote(s)

y-int. (, ) x-int. (, ) (, ) Domain: Asymptote(s)

y-int. (, ) x-int. (, ) (, ) Domain: Asymptote(s)

y-int. (, ) x-int. (, ) (, ) Domain: Asymptote(s)