Math - asymptotes

posted by .

Identify all asymptotes.

1. y= 1 / 2-√x^2 - 3x

the asymptotes I got were:
vertical: 1 & 4
horizontal: 0
Is this it or are there more?

2. y= x^3-2x / x^2 + 1

I believe there are no asymptotes? Is this correct?

  • Math - asymptotes -

    You have vertical asymptotes when the denominator is zero
    your values of x=1 and x=4 do not result in a zero denominator.

    I have a feeling that your function is
    y = 1/(2 - √(x^2-3x))
    in that case the denominator is zero when x = 4 or x = -1
    so your vertical asymptotes are
    x = 4 and x = -1
    (your horizontal is y = 0)

    2. Again, I think your meant your function to b
    y = (x^3 - 2x)/(x^2 + 1)
    Please confirm

  • Math - asymptotes -

    yes, those are what i meant..sorry about the notation

  • Math - asymptotes -

    PLease don't switch names.

    for y = (x^3 - 2x)/(x^2 + 1)
    there is no vertical or horizontal asymptote.

    but when you divide it you get

    y = x - 3x/(x^2+1)

    so there is a "slanted" asymptote of y = x

  • math -

    The area of a circular trampoline is 112.07 square feet. What is the radius
    of the trampoline? Round to the nearest hundredth

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    Let f(x)=(4x^2 -7x +2)/(x^2 -16x +63) Find the equations of the horizontal asymptotes and the vertical asymptotes of f(x). If there are no asymptotes of a given type, enter NONE. If there is more than one asymptote of a given type, …
  2. Math - Domain and Asymptotes

    Given the following rational function: f(x) = (x^2 + 6x - 8) / (x – 5) (a) state the domain. (b) find the vertical and horizontal asymptotes, if any. (c) find the oblique asymptotes, if any.
  3. Algebra 2

    Identify all horizontal and vertical asymptotes of the graph of the function. f(x)=x^2/x^2-4 I know the vertical asymptotes are x=2 and x=-2, but how do I find the horizontal asymptotes?
  4. Pre-Cal

    State the transformations. Identify holes, vertical asymptotes, and horizontal asymptotes of each. (I'm fine with the asymptotes, just need help with stating the trandformations) f(x)= (3x+9)/(x+2)
  5. Math

    All rational functions can be expressed as f(x) = p(x)/q(x), where p and q are __________ functions and q(x) ≠ 0. A. horizontal asymptotes B. polynomial C. vertical asymptotes D. slant asymptotes Is the answer D. vertical asymptotes?
  6. Geomatry

    For each of the rational functions find: a. domain b. holes c. vertical asymptotes d. horizontal asymptotes e. oblique asymptotes f. y-intercept g. x-intercepts 1. f(x)= x^2+x-2 / x^2-x-6
  7. algebra

    For each of the rational functions find: a. domain b. holes c. vertical asymptotes d. horizontal asymptotes e. oblique asymptotes f. y-intercept g. x-intercepts 1. f(x)= x^2+x-2 / x^2-x-6
  8. Pre cal

    Determine all x-intercepts, vertical asymptotes, horizontal asymptotes, and removable discontinuities of f (x)=(x^2-x-6)/(x^3-4x).
  9. m240

    All rational functions can be expressed as f(x) = p(x)/q(x), where p and q are __________ functions and q(x) ≠ 0. A. horizontal asymptotes B. polynomial C. vertical asymptotes D. slant asymptotes My answer is B is this correct.
  10. PRE-CALC

    I am given the rational function: f(x)= (x^3 - 1) / (x^2 - 4) I found that the domain is all real numbers except x= plus or minus 2 , I also found that the x intercept is x=1, however I do not get how to find: the y-intercet , or identify …

More Similar Questions