Rational Functions

• 2x² + 3x + 8 + -57/x-4

• 2x² - 13x - 56

• 2x² + 3x + 8 +7/x-4

• 2x² - 3x - 16 + -89/x-4

• 4x - 2

• 4x + 2

• 4x - 2 + (1/3x - 1)

• 4x + 2 + (1/3x - 1)

Find the horizontal asymptote.

• y = -2

• none

• y = 0

• y = 1/2

Find the Vertical Asymptotes

• x= 0, -2

• x= 2

• x= -3, 2

• x = -3,1

Graph

• A

• B

• C

• D

Find the horizontal or oblique asymptote.

• y = x

• y = x - 8

• y = x - 4

• y = x + 4

Find the oblique asymptote.

• y = 3x - 12

• y = x + 5

• y = 3x - 5

• y = 3x - 7

(2x³ + 7x² - 6x - 8) ÷ (x+ 4)

• 2x² - x - 2

• 2x³ - x² - 2x

• 2x² + 15x + 54 + 208/x+4

• 2x³ + 15x² + 54x + 208

What are the asymptotes?

• x=-2 and y=-1

• x=-2 and y=1

• x=2 and y=1

• x=2 and y = -1

When finding the Horizontal asymptotes of a function, you should be thinking...

• Set Bottom = to Zero

• Top = 0

• f(0)

• Look at the Degree of the top and bottom...