Why can horizontal asymptotes be crossed? • Physics Forums
Aug 5, 2007 · Horizontal asymptotes can indeed be crossed by functions, as established in the discussion. The function f (x) = sin (x)/x approaches the horizontal asymptote y = 0 while …
What is an asymptote and why doesn't parabola have one?
Oct 1, 2007 · An asymptote is a straight line associated with a curve such that as a point moves along an infinite branch of the curve the distance from the point to the line approaches zero …
What is an asymptote and how do we find it in graphing ln(x)?
Nov 28, 2008 · Homework Statement the qns is : sketch the graph of y=3ln (x+2) , showing clearing the asymptote and the x-intercept. im wondering wat is asymptote and...
Asymptote of a curve in polar coordinates • Physics Forums
Apr 14, 2017 · The discussion centers on the polar curve defined by the equation rθ = 1 for 0 < θ < 2π. Participants demonstrate that the line y = 1 serves as an asymptote to this curve by …
Determining the horizontal asymptote - Physics Forums
Apr 9, 2024 · Consider, I am self-studying; My interest is on the horizontal asymptote, now considering the degree of polynomial and leading coefficients, i have ##y=\\dfrac{2}{1} =2## …
Horizontal asymptotes - approaches from above or below?
Feb 22, 2009 · The discussion centers on understanding horizontal asymptotes, specifically for the function y = (6x + 1) / (1 - 2x). The horizontal asymptote is identified at y = -3. The user …
Infliction Point: Concavity Change & Asymptotes • Physics Forums
Aug 9, 2009 · Infliction point exist where concavity changes. Say y=a is a vertical asymptote. If f(x) approaches infinity from the left and negative infinity from the right. Since on the left is …
How to find oblique asymptotes for any function in general?
Jul 11, 2005 · The discussion focuses on finding oblique asymptotes for the function y= (2x^2+5x+11)/ (x+1). Participants emphasize the necessity of using polynomial long division to …
How can I graph sqrt (x^2 + 1) without using derivatives?
Jun 20, 2010 · Your final graph will be roughly similar to the graph of y = x 2 + 1 except that as x gets large (or very negative) the graph has a slant asymptote, which the graph of y = x 2 + 1 …
Why do functions have holes and asymptotes? • Physics Forums
Oct 5, 2012 · This discussion clarifies the distinction between holes and asymptotes in functions. A hole occurs when a function is undefined at a specific point due to a non-zero numerator …