College Algebra, 4th Edition

Section 3.6 Rational Functions

Before Starting this Section, Review

1. 1 Domain of a function (Section 2.4 , page 216)

2. 2 Zeros of a function (Section 3.2 , page 337)

3. 3 Quadratic formula (Section 1.3 , page 111)

4. 4 Dividing polynomials (Section 3.3 , page 355)

Objectives

1. 1 Define a rational function.

2. 2 Define vertical and horizontal asymptotes.

3. 3 Graph translations of $f(x)={\displaystyle \frac{1}{x}}.$

4. 4 Find vertical and horizontal asymptotes (if any).

5. 5 Graph rational functions.

6. 6 Graph rational functions with oblique asymptotes.

7. 7 Graph a revenue curve.

Federal Taxes and Revenues

Federal governments levy income taxes on their citizens and corporations to pay for defense, ...