Determing Features of a Rational Graph

Question 1

Horizontal Asymptote?

Answer 1

Note:
- H.A. will be y=0 if denominator’s (bottom) exponent is larger than the numerator’s (top) exponent.

• If exponent on the numerator (top) is larger than denominator (bottom), then there is NO H.A.

Question 2

Vertical Asymptote?

Answer 2

Set Denominator to ZERO!

Question 3

X-Inter? What happens if X-Inter is the SAME as the hole?

Answer 3

Set numerator (top) to ZERO!

(Note: if X-Inter is the same as the hole, then there is NO X-Inter!)

Question 4

Y-Inter?

Answer 4

Plug in ZERO for all x’s!

Question 5

Hole(s)?

Answer 5

If a common factor cancels out then there is a hole.