Chapter 4

Question 1

What is the hole?

Answer 1

when a factor at the bottom cancels a factor on the top. When there is a VA there is no hole.
When there is an X for the hole, find the Y by solving

Question 2

What is the VA?

Answer 2

when factor on bottom does not cancel out in the end. OR, all restrictions. When there is a hole there is no VA.

Question 3

What is the HA?

Answer 3

determined by the coefficients of the a term. It describes the end behavior

Question 4

What is HA when bottom coefficient is greater than top coefficient?

Answer 4

HA: y=0

Question 5

What is HA when bottom coefficient is smaller than top coefficient?

Answer 5

there is no HA

Question 6

What is HA when bottom coefficient is equal to the top coefficient?

Answer 6

HA = a/b

Question 7

What is HA when bottom coefficient is smaller than top coefficient BY EXACTLY ONE?

Answer 7

there is a SA (slant asymptote) and no HA. divide the top by the bottom equation and do long division.

Question 8

What is the depressed equation?

Answer 8

the simplified rational equation that doesnt tell everything about holes, HA, VA etc