Finding Vertical Asymptotes of Rational Functions

In this video, we dive into finding vertical asymptotes for various rational functions. Vertical asymptotes are the values of x where the denominator is equal to zero but the numerator is not equal to zero at those points.

We’ll analyze four rational functions and for each function, I’ll show you how to:

Factor the denominator to identify potential vertical asymptotes.
Check for common factors between the numerator and denominator to see if there's a hole instead of an asymptote.
Use the graph of the function to visualize what happens as the graph approaches the vertical asymptote.
By the end of the lesson, you’ll understand how to determine where vertical asymptotes occur in rational functions and how to interpret their behavior graphically.

What You Will Learn:

How to find vertical asymptotes of rational functions.
How to factor polynomials to locate potential asymptotes.
How to identify when a hole occurs instead of an asymptote.
Graphical interpretation of vertical asymptotes.
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#VerticalAsymptotes #RationalFunctions #Algebra #MathHelp #GraphingFunctions #FactorPolynomials #PatrickJMT