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6 Αυγ 2024 · In a rational function, an equation with a ratio of 2 polynomials, an asymptote is a line that curves closely toward the HA. The HA helps you see the end behavior of a rational function. In this article, we'll show you how to find the horizontal asymptote and interpret the results of your findings.
20 Δεκ 2023 · If one (or both) values is a real number b, then the horizontal asymptote is given as y = b. While this method holds for most functions of the form y = f(x), there is an easier way of finding out the horizontal asymptotes of a rational function using three basic rules.
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)
f (x) = (3x2 + 4x + 1) / (4x2 – 6x + 2) Here, the degree of the numerator and denominator is 2. To find the horizontal asymptote: We compare the leading coefficients of the numerator and the denominator, which are 3/4.
In order to find the horizontal asymptote, we need to find the limit of the function \ (f (x)\) as \ (x\) approaches to infinity. If you are not familiar with Calculus, you should first try to evaluate the function at a very large value of \ (x\). For example, let's say that \ (x = 1,000,000\).
An asymptote is a horizontal/vertical oblique line whose distance from the graph of a function keeps decreasing and approaches zero, but never gets there. In this wiki, we will see how to determine horizontal and vertical asymptotes in the specific case of rational functions.
