Vertical Asymptotes of Rational Functions
Read this topicExplanations 3
- We know that a rational function is of the form r(x)=f(x)g(x)r(x) = \frac{f(x)}{g(x)}r(x)=g(x)f(x), where f(x)f(x)f(x) and g(x)g(x)g(x) are both polynomial functions. A vertica…
By Chaitanya Ravuri
- (Video) Vertical Asymptotes... How? (NancyPi) by NancyPi Watch this video by NancyPi to learn how to find vertical asymptotes! Nancy starts by explaining the 3 steps to finding …
By Trisha, Anusha Rahman
- Vertical Asymptotes of Rational Functions In this lesson, we are going to learn about vertical asymptotes. A vertical asymptote is an invisible vertical line that a graph gets r…
By Trisha, Anusha Rahman
Problems 5
- List all xxx values where the function f(x)=x2−4x+3x2−5x+6f(x) = \frac{x^2-4x+3}{x^2-5x+6}f(x)=x2−5x+6x2−4x+3 has a vertical asymptote.
- How many vertical asymptotes does y=1x2+1y = \frac{1}{x^2+1}y=x2+11 have?
- How many vertical asymptotes does y=1x3−1y = \frac{1}{x^3-1}y=x3−11 have?
- At most how many vertical asymptotes can the graph of a rational function f(x)/g(x)f(x)/g(x)f(x)/g(x) have, if fff is a quadratic and ggg is a cubic?
- Find the vertical asymptote(s) for the following rational function: y=1x2+x−6y=\frac{1}{x^2+x-6}y=x2+x−61