A Precalculus Outline

Chapter 4: Rational Functions

Section 4.1: Introduction to Rational Functions

Objective: Understanding the concept of asymptote

Objective: Finding vertical asymptotes of a rational function

Objective: Finding horizontal asymptotes of a rational function

Objective: Finding slant/oblique asymptotes of a rational function

* Review for Section 4.1

Objective: Finding domain algebraically

Objective: End behavior

Objective: Factoring polynomials

Objective: Simplifying rational expressions

Objective: Polynomial long division

Objective: Degree of a polynomial function

Objective: Graphing functions

Objective: Finding the Least Common Denominator - Rational Expressions

Objective: Adding and Subtracting Rational Expressions

Section 4.2: Graphs of Rational Functions

Objective: Graphing Rational Functions

Objective: Graphing Rational Functions with a Slant / Oblique Asymptote

* Review for Section 4.2

Objective: Rational function

Objective: Vertical asymptote

Objective: Hole in the graph

Objective: Horizontal asymptote

Objective: Slant asymptote

Objective: Sign diagram

Section 4.3: Rational Inequalities and Applications

Objective: Solve rational equations

Objective: Solve rational equations with extraneous solutions

Objective: Solving a work-rate problem

Objective: Solving rational inequalities

* Review for Section 4.3

Objective: Polynomial equations

Objective: Finding a relative maximum of a function graphically

Objective: Finding a relative minimum of a function graphically

Objective: Finding a local maximum of a function graphically

Objective: Finding a local minimum of a function graphically

Objective: Finding the maximum of a function graphically

Objective: Finding the absolute maximum of a function graphically

Objective: Finding the minimum of a function graphically