Αποτελέσματα Αναζήτησης
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.
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 ${x\rightarrow \pm \infty}$. We find the value of ${ \lim _{x\rightarrow \infty }f\left( x\right)}$ We do the same for ${\lim _{x\rightarrow -\infty }f\left( x\right)}$
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)
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\).
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.
To find a horizontal asymptote for a rational function of the form , where P (x) and Q (x) are polynomial functions and Q (x) ≠ 0, first determine the degree of P (x) and Q (x). Then: If the degree of Q (x) is greater than the degree of P (x), f (x) has a horizontal asymptote at y = 0.