Identifying Vertical Asymptotes

We can find the vertical asymptote by determining

• Which number (if any) will make the numerator = 0

• Which numbers (if any) will make the denominator = 0

• Factoring

• Quadratic Formula

What is the vertical asymptote in the following expression
2x + 5
_______________
X + 1

• -2.5

• 2

• -1

• 0

• There are no vertical asymptotes

Find the Vertical Asymptotes

• x= 0, -2

• x= 2

• x= -3, 2

• x = -3,1

State the vertical asymptote.

• x = -2/5

• x = -5/2

• x = -5

• x = 2

• x = 2

• x = 7

• x = 2 and x = 7

• x = 0

• Does Not Exist

When identifying a vertical asymptote or hole, what variable do we use?

• x

• y

• none

• the same as the problem

• y = -7

• x = 7

• y = 0

• x = -7

Which rational function has a vertical asymptote at x = -3

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

• vertical asymptote

• horizontal asymptote

• holes

• slant asymptote