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 and the slope …
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 evaluating the …
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 crossing it …
Vertical Asymptote: Is f Defined at x=1? • Physics Forums
May 22, 2011 · The discussion centers on the concept of vertical asymptotes in relation to function definitions, specifically addressing the statement: "If the line x=1 is a vertical asymptote of y = f (x), …
Why is y=a a horizontal asymptote on the polar coordinates?
Jun 8, 2010 · Hi guys, I was trying to sketch a polar curve but my curve was different from the curve on maple(I plotted the same curve on maple). Homework Statement Here is the whole question, I am …
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 determine the …
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 on this lesson …
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 concave up …
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 initially …
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 validity of …