horizontal-and-vertical-asymptotes-slant-oblique-holes-rational-function-domain-range

This math video tutorial shows you how to find the horizontal, vertical and slant / oblique asymptote of a rational function. This video is for students who might be taking algebra 1 or 2, precalculus or calculus in high school or those who might be taking college algebra in an university. This video contains plenty of notes, examples, and practice problems for you to master the concepts.

Here is a list of topics:

1. Horizontal and Vertical Asymptotes Review

2. Setting the Denominator Equal to Zero to Find The Vertical Asymptote

3. Top Heavy vs Bottom Heavy Functions - Comparing the Degree of The Numerator with the Denominator of the Fraction to Identify the Horizontal Asymptotes

4. Horizontal Asymptotes and End Behavior - As x approaches Infinity

5. Using Long Division To Find The Equation of The Slant / Oblique Asymptote

6. Graphing Rational Functions Using X and Y Intercepts

7. How To Identify and Remove any Holes or Points of Discontinuity

8. Point Discontinuity vs Infinite Discontinuity

9. Domain and Range of Rational Functions

10. Removing the Vertical Asymptote and X Coordinate of the Hole from the Domain

11. Removing the Horizontal Asymptote and Y Coordinate of the Hole from the Range

12. How To Determine / Calculate the X and Y Intercepts of a Rational Expression

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