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Learn how to find horizontal asymptote of a function using limits, graphs, and shortcuts. See examples of rational, exponential, and polynomial functions with horizontal asymptotes.
6 Αυγ 2024 · A horizontal asymptote is the dashed horizontal line on a graph. The graphed line of the function can approach or even cross the horizontal asymptote. To find a horizontal asymptote, compare the degrees of the polynomials in the numerator and denominator of the rational function.
How do you find the horizontal asymptote? To find the horizontal asymptote: When the numerator has a smaller degree, the horizontal asymptote is the x-axis (or, which is the same thing, the line y = 0)
20 Δεκ 2023 · How to Find a Horizontal Asymptote. We follow the steps below to determine the horizontal asymptote of any function y = f (x), where x → ± ∞. We find the value of lim x → ∞ f (x) We do the same for lim x → − ∞ f (x) If one (or both) values is a real number b, then the horizontal asymptote is given as y = b.
15 Αυγ 2024 · Learn what horizontal asymptotes are and how to find them using three simple steps. See examples of rational expressions with horizontal asymptotes and how to graph them on the coordinate plane.
Learn what a horizontal asymptote is and how to find it for rational and non-rational functions. See graphs, formulas and explanations with examples and exercises.
Learn how to find horizontal asymptotes of rational functions by reducing the numerator and denominator to the highest powers of x. See examples, graphs, and exercises with solutions.
