Advanced Alg.

I forgot how to look for the asymptote from an equation.. can someone please help me out?
example: y= x/(x+1) what's the asymptote in this case?
Thanks.

  1. 👍 0
  2. 👎 0
  3. 👁 479
  1. A vertical asymptote is located where the denominator vanishes. In the cited example, the denominator has a zero at x=-1, where the vertical asymptote would be located.

    The horizontal asymptote, if it exists, is obtained by dividing the leading coefficient of the numerator by that of the denominator. A leading coefficient is the coefficient of the highest term of a polynomial. In the example, both have a coefficient of 1, so the horizontal asymptote is at y=1.

    Post if you need further clarifications.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    f(x) = tan x / sin x Find the vertical asymptote. Describe its behavior to the left and right of the vertical asymptote.

  2. Calculus

    If the graph of y = (ax - b)/(x - c) has a horizontal asymptote y=5 and a vertical asymptote x = − 2 , then b cannot be equal to what?

  3. Calculus AB

    Let f be the function that is given by f(x)=(ax+b)/(x^2 - c). It has the following properties: 1) The graph of f is symmetrical with respect to the y-axis 2) The graph of f has a vertical asymptote at x=2 3) The graph of f passes

  4. Algebra

    write an equation for a rational function that has a vertical asymptote of -4, a horizontal asymptote of 3, and vertically shrinks the graph by a factor of 5 (compared to the graph of y=1/x). So far I have Y=3x/x+4 but I can't

  1. Rational Functions

    Write an equation for a rational function whose graph has the following properties: x-intercept of 3 y-intercept of -3 vertical asymptote of x=-2 horizontal asymptote of y=2

  2. AP Calculus

    - Which of the following is false for f(x) = (5x^3-5x^2-10x)/(2x^5-2x) a) The x-axis is an asymptote of f(x) b) x = -1 is not an asymptote of f(x). c) x = 1 is an asymptote of f(x). d) The y-axis is an asymptote of f(x). Thanks

  3. advance functions gr12

    write an equation for a rational function whose graph has all of the indicated features: -vertical asymptote with equation x=3 -horizontal asymptote with equation y=2 -hole at x=1 no x intercept thank you

  4. Math

    Write a rational function satisfying the following criteria. vertical Asymptote: x=-1, slant asymptote: y=x+2, zero of the function: x=3 I had f(x)=x^2+3x+2/x+1, that only works for the asymptotes and not the zero can someone

  1. Math Advanced Functions

    1. Write an equation of a rational function that satisfies all of these conditions (6 marks) - Vertical asymptote at x = -8 and x = 5 - Horizontal asymptote at y = 0 - x-intercept at (-2, 0) - f(0) = -2 - has a hole at x = 3

  2. math

    Hi, I have a math question that I need help with: g:-> 3(1.3)^x State equations for any asymptotes to the graph of g. I know what an asymptote is, but I do not understand this question...so lost. Help would be greatly appreciated.

  3. Math

    Give an example of a rational function that has vertical asymptote x = 3 and x = -3, horizontal asymptote y = 2 and y-intercept is (0, 4)

  4. Precalculus

    Write an equation for rational function with given properties. a) a hole at x = 1 b) a vertical asymptote anywhere and a horizontal asymptote along the x-axis c) a hole at x = -2 and a vertical asymptote at x = 1 d) a vertical

You can view more similar questions or ask a new question.