Post a New Question

limitas, asymptotes and discontinuities??

posted by .

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 has vert. asympt. at the roots of the denominator.
As x becomes unbounded in either direction you should be able to see that it approaches the x-axis.
So 2 vertical and 1 horizntal asymptote = 3 asymptotes, and 2 roots = 2 discontinuities.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. asymptotes and discontinuity 2???

    consider the function f(x) = 1/x - 1 for x not=0 and f(x) = 0 for x = 0. decide whether f(x) has a)one symptote and two discontinuities b)two asymptotes and two discontinuities c)two asymptotes and one discontinuity I'm not sure if …
  2. Pre-Cal

    use a graphing calculator to obtain the graph of the function. What do you observe about its asymptotes?
  3. Math - asymptotes

    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?
  4. Pre Cal

    which of the following best describes the behavior of thre function f(x)=(x^2-2x)/(x^2-4) at the values not in its domain?
  5. 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)]
  6. AP Calculus

    Consider the function f(x)= abs(x)(x-3)/9-x^2 a) what is the domain of f?
  7. Math

    two functions are defined as follows: f(x)=3/x+1 and g(x)=x-6 a) Write the equations of the vertical and horizonal asymptotes of f. b) Determine the coordinates of the points where f(x) = g(x) Thank you so much for huge help Is ti …
  8. Pre-Calc/Trig

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

    Create a function which has the following properties: a. It has a horizontal asymptote at y=2 b. It has a discontinuity at x=2 which is not a vertical asymptote c. It has no other discontinuities or asymptotes
  10. Pre cal

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

More Similar Questions

Post a New Question