Rational Functions - Vertical Asymptote

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

State the vertical asymptote.

• x = -2/5

• x = -5/2

• x = -5

• x = 2

What are the Vertical Asymptotes of...

• x = 0, -5

• x=0, 5

• x = 2, -7

• x = -2, 7

State the vertical asymptote:  f(x)=(x-2)/(x+5).

• x = -2/5

• x = -5/2

• x = -5

• x = 2

Mathematical Equivalence

ON

• x = -3

• x = 5

• x = -3 and x = 5

• x = 0

• Does Not Exist

Find the Vertical Asymptotes for the following function

Find the vertical asymptote.
f\left(x\right)=\frac{x^2-2x-8}{3x-2}

• y=2/3

• x=3/2

• x= 2/3

• x=1/3

Which of the following is determined by just looking at the denominator?

• vertical asymptote

• horizontal asymptote

• holes

• slant asymptote

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