Asymptotes of Rational Functions

Determine the equations of the vertical and horizontal asymptotes of the graph of the function

Tags

MA.912.F.1.7

Tags

MA.912.F.1.7

Tags

MA.912.F.1.7

Determine the equations of any horizontal and vertical asymptotes and find any points of discontinuity (holes) of f\left(x\right)=\frac{x-3}{x^2-9}

Tags

MA.912.F.1.7

What are the asymptotes?

• x=-1 y = -3

• x=1 y = -3

• x=-1 y =3

• x=1, y=3

Tags

CCSS.HSF-IF.C.7D

Where is the horizontal asymptote?

• y= 6

• y= 1

• y= 0

• none

Tags

CCSS.HSF-IF.C.7D

What type(s) of asymptotes does this function have? (Check all that apply.)

• Vertical

• Horizontal

• Oblique

Tags

CCSS.HSF-IF.C.7D

Which asymptote(s) are determined by looking at the factors of the denominator?

• vertical

• horizontal

• slant

• none

Tags

CCSS.HSF-IF.C.7D

Where is the hole?

• x= 4

• x= -4

• x= 5

• x= -5

Tags

CCSS.HSF-IF.C.7D

Which of the following are true? (there can be more than one answer)

• There is a hole at x=3

• There is a hole at x= -2

• The horizontal asymptote is at y=0

• The domain is {x|x≠2,3}

Tags

CCSS.HSF-IF.C.7D