Rational Functions

Question 1

y = ax+b / cx+d

Answer 1

VA x= -d/c
HA y= a/c
xint x= -b/a
yint y= b/d

Question 2

How to solve rational equations?

Answer 2

1. Factor and state any necessary restrictions
2. Multiply to remove all denominators
3. Solve the remaining equation using apprpt technique

Question 3

Oblique Assmptote

Answer 3

For rational functions in the form y = P(x) / Q(x), if the degree of P(x) is one degree higher than that of Q(x), it will contain an OA.

Question 4

How to find an OA?

Answer 4

Long division. the +/- at the end of the equation (remainder) is irrelevant.

Question 5

What is the equation of a reciprocal function?

Answer 5

y = a/x-b

Question 6

How to solve inequalities algebraically

Answer 6

Method 1: Intervals (interval chart)

Method 2: Cases. (what if brackets were +/-?)