The Graph of a Rational Function

Analytically determining the Graph of a Rational Function:

Step 1: Find the domain

Step 2: Write the function in the lowest terms

Step 3: Find the intercepts

Step 4: Locate the asymptotes

Step 5: Graph using previous learned skills

**Direct Variation:** How one quantity varies in relation to another quantity. If y is directly proportional to x than it shows direct variation.

y=kx

k= "constant of variation"

**Inverse Variation:** y=\frac{k}{x}

**Joint/Combined Variation:**

1. y=kxz

2. y=\frac{ktr}{m}

a. At least three variables

b. "Y varies jointly with x and z" (1)

c. "Y varies jointly with t and r and inversely with m" (2)