Limits of Rational Functions

Identify the equation of the horizontal asymptote (y=__) for the given function.

Identify the equation of the horizontal asymptote.

• none

Identify the coordinates of the hole and equations of the asymptotes.

• Hole @ x = -2;  No Horizontal or Vertical Asymptote

• No Holes;  No Horizontal Asymptotes;  VA:  x = -2 and x = 4

Identify the coordinates of the hole and equations of the asymptotes.

• Hole @ (7, 10);  No Horizontal or Vertical Asymptotes

• No Holes;  HA: y = 0;  VA:  x = 7

• Hole @ (7, 10);  No Horizontal Asymptote;  VA: x = -3

Identify the equation of the horizontal asymptote.

• none

• Does Not Exist
• 9
• 1
• 0

Find the limit

• ⁶/₅

• 0

• As the function approaches zero, left and right of zero do not match

• As the function approaches zero, the graph oscillates.

• As the function approaches zero, the graph increases without bound.

• The function only approaches zero from one side.

What is the limit?

• DNE

• Infinity

• 6

• 12

• 2

• 4

• 8

• +∞