Identifying Asymptotes
1 hr 7 min 9 Examples
- Introduction to Video: How to Identify Asymptotes and Discontinuities
- Overview of Rational Functions and Vertical, Horizontal, and Oblique Asymptotes
- Overview of Continuity and Discontinuity
- How to find asymptotes of a rational function?
- Examples #1-9: Find all asymptotes and discontinuities
Graphing Rational Functions
1 hr 45 min 9 Examples
- Introduction to Video: Graphing Rational Functions
- Overview of Steps for Graphing Rational Functions
- Examples #1-2: Graph the Rational Function with One Vertical and One Horizontal Asymptote
- Examples #3-4: Graph the Rational Function with Two Vertical and One Horizontal Asymptote
- Example #5: Graph the Rational Function with Removable Discontinuity
- Example #6: Graph the Rational Function with One Vertical and One Oblique Asymptote
- Examples #7-9: Graph the Rational Function
Variation Equations
29 min 7 Examples
- Introduction to Video: Variation
- Overview of Direct, Inverse and Joint Variation
- Steps for Solving Variation Equations and Example #1
- Examples #2-3: Solve the Direct Variation Equations
- Examples #4-7: Solve the Joint and Inverse Variation Equations
Rational Functions in Calculus
36 min 7 Examples
- Introduction to Video: Rational Functions in Calculus
- Understanding limits using a graph and numerical table
- What are limits involving infinity? One Sided and Two Sided Limits
- What are limits at infinity? and the definition of a horizontal asymptote
Partial Fractions
2 hr 9 min 8 Examples
- Introduction to Video: Partial Fractions
- Overview of Partial Fraction Decomposition
- Two Examples of Long Division for Rational Functions
- Examples #3-4: Find the Partial Fraction with Distinct & Linear Factors using Long Division
- Example #5: Find the Partial Fraction with Distinct & Linear Factors
- Examples #6-7: Find the Partial Fraction with Distinct & Non-Linear Factors
- Example #8: Find the Partial Fraction with Repeating & Non-Linear Factors
Chapter Test
1 hr 20 min 12 Examples
- Examples #1-5: Identify all Asymptotes
- Example #6: Solve the Variation Equation
- Example #7: Graph the Rational Function with One Vertical and One Horizontal Asymptote
- Example #8: Graph the Rational Function with One Vertical and One Oblique Asymptote
- Example #9: Graph the Rational Function with Two Vertical and One Horizontal Asymptote
- Example #10: Graph the Rational Function with Removable Discontinuity
- Example #11: Graph the Rational Function with Two Vertical and One Horizontal Asymptote
- Example #12: Graph the Rational Function with Removable Discontinuity