9.4 – Graphing Rational Functions

Ex. 1 Graph 5 x – 2

Ex. 1 Graph 5 x – 2

Ex. 1 Graph 5 x – 2

x – 2 = 0

Ex. 1 Graph 5 x – 2

x – 2 = 0 x = 2

Ex. 1 Graph 5 x – 2

x – 2 = 0 x = 2 (asymptote)

Ex. 1 Graph 5 x – 2

x – 2 = 0 x = 2 (asymptote)

Ex. 1 Graph 5 x – 2

x – 2 = 0 x = 2 (asymptote)

Ex. 1 Graph 5 x – 2

x – 2 = 0 x = 2 (asymptote)

*Graph on Calc.

Ex. 1 Graph 5 x – 2

x – 2 = 0 x = 2 (asymptote)

*Graph on Calc.Type: y = 5/(x – 2)

Ex. 1 Graph 5 x – 2

x – 2 = 0 x = 2 (asymptote)

*Graph on Calc.Type: y = 5/(x – 2)2nd Table, 3pts on each curve

Ex. 1 Graph 5 x – 2

x – 2 = 0 x = 2 (asymptote)

*Graph on Calc.Type: y = 5/(x – 2)2nd Table, 3pts on each curve

Ex. 2 Graph x + 1 x2 + 3x + 2

Ex. 2 Graph x + 1 x2 + 3x + 2 x + 1(x + 2)(x + 1)

Ex. 2 Graph x + 1 x2 + 3x + 2 x + 1(x + 2)(x + 1) 1 x + 2

Ex. 2 Graph x + 1 x2 + 3x + 2 x + 1(x + 2)(x + 1) 1 x + 2

Asymp. @ x = -2

Ex. 2 Graph x + 1 x2 + 3x + 2 x + 1(x + 2)(x + 1) 1 x + 2

Asymp. @ x = -2Hole @ x = -1

Ex. 2 Graph x + 1 x2 + 3x + 2 x + 1(x + 2)(x + 1) 1 x + 2

Asymp. @ x = -2Hole @ x = -1Graph y = (x+1)/(x2+3x+2)

Ex. 2 Graph x + 1 x2 + 3x + 2 x + 1(x + 2)(x + 1) 1 x + 2

Asymp. @ x = -2Hole @ x = -1*Graph y = (x+1)/(x2+3x+2)*Then 2nd Table for 3 ordered pairs per curve.

Ex. 2 Graph x + 1

x2 + 3x + 2 x + 1(x + 2)(x + 1) 1 x + 2

Asymp. @ x = -2Hole @ x = -1*Graph y = (x+1)/(x2+3x+2)*Then 2nd Table for 3 ordered pairs per curve.