posted by rod

y= x / (x^2+x)

what are the discontinuities on this graph ?

  1. bobpursley

    what happens at x=-1

  2. Reiny

    more interesting, what happens when x = 0 ?

    y = x/(x(x+1))
    = 1/(x+1) , x ≠ 0
    so you also have a "hole" at (0,1)

    e.g. let x = .0001
    y = .0001/(.0001(1.0001))
    = appr .99900999...

Respond to this Question

First Name

Your Answer

Similar Questions

  1. limitas, asymptotes and discontinuities??

    f(x) = 1/(x^2-x-2) does f(x) have two or three asymptotes does f(x) have one or two discontinuities We have f(x) = 1/(x^2-x-2) or f(x)=1/[(x-2)(x+1)] f has vert. asympt. at the roots of the denominator. As x becomes unbounded in either …
  2. calculus

    find the x-values at which f is not continuous. which of the discontinuities are removable?
  3. calculus

    Can anyone please explain to me that how can I find the discontinuities of the following function?
  4. calculus

    Locate the discontinuities of the function. y = 2/(1 + e^(1\/x))
  5. Calculus (Discontinuities)

    Suppose, f(x) = { (x - 1)^2 / x + 1 if x < 2 (x^2 - 2x - 8)/(x - 4) if 2 </= x < 4 (1 / (x - 3)) + 5) if 4 </= x Identify any points of discontinuity, and determine (giving reasons) if they are removable, infinite, or jump …
  6. calculus

    Find all discontinuities of the given function. Also, describe the discontinuities. f(x)= [(x-8)^2(x+3)(2x^2+3x-5)]/[(x+4)^2(2x+5)(x-3)(x^2-1)]
  7. Pre Calculus

    Determine all discontinuities that exist on the graph of y = f(x) shown below. Please show your reasoning by justifying your answer with the conditions of continuity. If there is a discontinuity, identify it as removable or non-removable.
  8. calculus

    find all discontinuities (16x/2x3-8x3=0)
  9. Pre-Calc/Trig

    Identify the asymptotes, removable discontinuities, and intercepts for the graph of the function. d(x)=(x^2-12x+20)/3x
  10. calculus

    Locate the discontinuities of the function y=(5)/(3+e^(1/x))

More Similar Questions