Rational Functions

Dive into a comprehensive 2-hour 50-minute video lesson on rational functions, covering simplification, graphing, and solving techniques. Master the art of simplifying rational expressions, adding and subtracting fractions, multiplying and dividing rational expressions, and handling complex fractions. Learn to graph rational functions by determining x and y intercepts, vertical and horizontal asymptotes for various scenarios. Explore solving rational equations and identifying extraneous solutions. Benefit from numerous examples and step-by-step explanations to enhance your understanding of these crucial mathematical concepts.

Simplify Rational Expression .
Example 01: Simplify the Following Expressions .
Example 02: Simplify the Rational Expressions & Label Excluded Values .
Example 03: Add & Subtract the Following Fractions .
Example 04: Add or Subtract the Rational Expressions & Label Excluded Values .
Example 05: Multiply & Divide the Following Fractions .
Example 06: Multiply the Following Rational Expressions & Label Excluded Values .
Example 07: Divide the Following Rational Expressions .
Example 08: Divide the Following Rational Expressions & Label Excluded Values .
Example 09: Simplify the Following Complex Fractions .
Example 10: Simplify the Complex Fractions .
Graph Rational Fractions .
Example 01: Determine the x and y Intercepts of the Following Function, Vertical & Horizontal Asymptotes .
Example 02: Determine the x and y Intercepts of the Following Function, Vertical & Horizontal Asymptotes .
Example 03: Determine the Horizontal, Vertical Asymptotes, x and y Intercepts When n greater than m .
Example 04: Determine the Horizontal, Vertical Asymptotes, x and y Intercepts When a equal b .
Example 05: Determine the Horizontal, Vertical Asymptotes, x and y Intercepts When n less than m .
Solve Rational Equations .
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Example 02: Simplify the Complex Fractions & Label Excluded Values .