APPC – 1.9 Rational Functions and Vertical Asymptotes

What are the zeros of g(x) in Example 2?

• (2,0), (-2,0)

• (3,0), (-3,0)

• (3,0), (-3,0), (2,0), (-2,0)

• There are no real zeros

What is the limit of g(x) as x approaches -2 from the left?  What is the limit as x approaches -2 from the right?

• The limit of g(x) as x approaches -2 from the left is ∞ and the limit of g(x) as x approaches -2 from the right is -∞.

• The limit of g(x) as x approaches -2 from the left is ∞ and the limit of g(x) as x approaches -2 from the right is ∞.

• The limit of g(x) as x approaches -2 from the left is - ∞ and the limit of g(x) as x approaches -2 from the right is - ∞.

• The limit of g(x) as x approaches -2 from the left is - ∞ and the limit of g(x) as x approaches -2 from the right is ∞.

• There are no vertical asymptotes on this graph.

• x = 3

• x = 3, 5

• x = -5, 5

• x = -5, 3, 5

What is the horizontal asymptote for the function h(x)in Example 4?

• y = 3

• y = 2

• y = 1

• y = 0

TRUE OR FALSE:

A vertical asymptote is when a limit equals positive or negative infinity whereas a horizontal asymptote is when a limit analysis is evaluated as x approaches either positive or negative infinity.

• TRUE

• FALSE