This jumath video tutorial shows you how to find the horizontal, vertical and 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. 1. Horizontal and Vertical Asymptotes Review
2. Setting the Denominator Equal to Zero to Find The Vertical Asymptote
3. Comparing the Degree of The Numerator with the Denominator of the Fraction to Identify the Horizontal Asymptotes
4. Horizontal Asymptotes 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
Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable, when there is a factor in the numerator which can cancel out the discontinuous factor and is said to be non-removable when there is no factor in the numerator which can cancel out the discontinuous factor.
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