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 …
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 …
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 …
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 …
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 …
What is the domain and asymptotes for f(x) = |x³ + x²|/(x² - 1)?
Sep 27, 2009 · The slant asymptote for x → +∞ is y = x + 1, confirmed through both long division and limit analysis, while for x → -∞, the asymptote is y = -x - 1. The discussion emphasizes the …
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...
Cubic/cubic ->intercepts and asymptote (s) • Physics Forums
Mar 29, 2011 · The horizontal asymptote is established at y = 1, indicating the end behavior of the function as x approaches positive or negative infinity. Understanding of polynomial functions …
Do polynomials have asymptotes? • Physics Forums
Apr 7, 2006 · First of all, do polynomials have asymptotes, including oblique ones? I know that rational functions have asymptotes, and it seems that most, if not all, of my book's exercises …