**Rational Functions**

## Identifying Asymptotes

1 hr 7 min 28 Examples

- Introduction to Video: Solving Linear Inequalities
- Inequality is a Comparison with Examples #1-9
- Examples #10-15: Describe the nubmers whose graphs are given
- Examples #16-18: Solve the Linear Inequality and Sketch solution
- Examples #19-22: Solve the Linear Inequality and Sketch solution
- Examples #23-26: Solve the Compound Inequality and Sketch solution
- Examples #27-28: Solve the Compound Inequality and Sketch solution

## Graphing Rational Functions

1 hr 45 min 9 Examples

- Introduction to Video: Graphing Rational Functions
- Overview of Steps for Graphing Rational Functions
- Example #1: Graph the Rational Function with One Vertical and One Horizontal Asymptote
- Example #2: Graph the Rational Function with One Vertical and One Horizontal Asymptote
- Example #3: Graph the Rational Function with Two Vertical and One Horizontal Asymptote
- Example #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
- Example #7: Graph the Rational Function
- Example #8: Graph the Rational Function
- Example #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 #4-5: Solve the Joint and Inverse Variation Equations
- Examples #6-7: Solve the Joint and Inverse Variation Equations

## Rational Functions in Calculus

36 min 28 Examples

- Introduction to Video: Solving Linear Inequalities
- Inequality is a Comparison with Examples #1-9
- Examples #10-15: Describe the nubmers whose graphs are given
- Examples #16-18: Solve the Linear Inequality and Sketch solution
- Examples #19-22: Solve the Linear Inequality and Sketch solution
- Examples #23-26: Solve the Compound Inequality and Sketch solution
- Examples #27-28: Solve the Compound Inequality and Sketch solution

## Partial Fractions

2 hr 9 min 8 Examples

- Introduction to Video: Partial Fractions
- Overview of Partial Fraction Decomposition and Step 1
- Two Examples of Long Division for Rational Functions
- Step 2: (i) Distinct & Linear, (ii) Repeating & Linear
- Step 2: (iii) Distinct & Non-Linear, (iv) Repeating & Non-Linear
- Step 3: Algebra Techniques for Solving for Constants
- Example #1: Find the Partial Fraction with Distinct & Linear Factors using Long Division
- Example #2: Find the Partial Fraction with Distinct & Linear Factors using Long Division
- Example #3: Find the Partial Fraction with Distinct & Linear Factors
- Example #4: Find the Partial Fraction with Distinct & Non-Linear Factors
- Example #5: Find the Partial Fraction with Distinct & Non-Linear Factors
- Example #6: Find the Partial Fraction with Repeating & Non-Linear Factors