Asymptotes of Rational Functions

Find the vertical asymptotes and holes of the function.

• Holes: None;

  VA: x = 1, -3

• Holes: x = -3;

  VA: x = 1

• Holes: x = -3, 1

  VA: None

• Holes: x = 1

  VA: x = -3

Tags

CCSS.HSF-IF.C.7D

Find the vertical asymptote.
g\left(x\right)=\frac{\left(x+3\right)\left(x-2\right)}{\left(x+5\right)\left(2x-1\right)}

• x=-5

• x=1/2

• x=-1/2

• x=-3

• x=2

Tags

CCSS.HSF-IF.C.7D

Find the vertical asymptote(s).

• None

• x = 0

• x= 4

• x = -4, 4

Tags

CCSS.HSF-IF.C.7D

Find the oblique asymptote.

• y = 3x - 12

• y = x + 5

• y = 3x - 5

• y = 3x - 7

Tags

CCSS.HSF-IF.C.7D

Determine the horizontal asymptote(s) for the following function. f\left(x\right)=\frac{2x-5}{x^2-1}

• Does Not Exist

Tags

CCSS.HSF-IF.C.7D

Determine the horizontal asymptote(s) for the following function. f\left(x\right)=\frac{2x-5}{x^2-1}

• Does Not Exist

Tags

CCSS.HSF-IF.C.7D

Mathematical Equivalence

ON

Tags

CCSS.HSF-IF.C.7D

What is the vertical asymptote?

• x=-4

• x=1

• x=4

• x=3/2

Tags

CCSS.HSF-IF.C.7D

What is the x asymptote?

• x=-4

• x=1

• x=4

• x=3/2

Tags

CCSS.HSF-IF.C.7D

• y = 4

• y = 3

• y = -3

• y = 0

• Does Not Exist

Tags

CCSS.HSF-IF.C.7D