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