## Functions 2

lim x → a − 0 f ( x) = ± ∞. or. lim x → a + 0 f ( x) = ± ∞. Otherwise, at least one of the one-sided limit at point x=a must be equal to infinity. For Oblique asymptote of the graph function y=f (x) for

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## 2-07 Asymptotes of Rational Functions

To find the vertical asymptote(s) of a rational function, simply set the denominator equal to 0 and solve for x. What types of graphs have Asymptotes? There are three types of asymptotes: ## How to Find Vertical & Horizontal Asymptotes

!To find the oblique or slanted asymptote of a function, we have to compare the degree of the numerator and the degree of the denominator. If the degree of the numerator is exactly one more than the degree of the denominator, then the graph of the rational function will be roughly a sloping line with some complicate See more

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## Asymptotes: Worked Examples

👉 Learn the basics of graphing trigonometric functions. The graphs of trigonometric functions are cyclical graphs which repeats itself for every period. To

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## Horizontal, Vertical Asymptotes and Solved Examples

To find the horizontal asymptote of a rational function, find the degrees of the numerator (n) and degree of the denominator (d). If n d, then there is no HA. If n = d ## Identify vertical and horizontal asymptotes

A vertical asymptote is a vertical line at the x value for which the denominator will equal to zero. Let's look at this example: The denominator has two factors. When we set them equal to zero

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