SOLUTION: Which statement is true about the discontinuities of the function f(x)? f(x)=x^2-4/x^3-x^2-2x There is a hole at x = 2. There are asymptotes at x = 0 and x = �1. There are

Question 810016: Which statement is true about the discontinuities of the function f(x)?
f(x)=x^2-4/x^3-x^2-2x
There is a hole at x = 2.
There are asymptotes at x = 0 and x = �1.
There are asymptotes at x = 0 and x = �1 and a hole at mc012-2.jpg.
There are holes at x = 0 and x = �1 and an asymptote at x = 2.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Which statement is true about the discontinuities of the function f(x)?
f(x)=x^2-4/x^3-x^2-2x
------
Factor::
f(x) = [(x-2)(x+2)]/[x(x-2)(x+1)]
-----
There is a hole at x = 2. TRUE
There are asymptotes at x = 0 and x = �1.TRUE
There are asymptotes at x = 0 and x = �1 and a hole at x = 2. TRUE
There are holes at x = 0 and x = �1 and an asymptote at x = 2. FALSE
==================
Cheers,
Stan H.
==================

RELATED QUESTIONS
The graph has a hole in the function f(x)=x-3/x^2-2x-3 where is it? Which statement... (answered by lwsshak3)

Consider the two functions: f(x)=x^2-4 and g(x)=2x^3-3x^2-5x+6 A. A function is defined... (answered by greenestamps)

hey there, Any help would be appreciated, question is as follows : Sketch a... (answered by josgarithmetic)

Which of the following is true of f(x)? f(x)= (x^2+8x+15)/(x^2-2x-15). One of the... (answered by MathLover1)

Which statement about the function below is true? f(x) = x^3 - 4x^2 - 16x + 64 = (x +... (answered by KMST)

Which statements are true about the polynomial function f(x) = -x^3 - 4x^2 - x - 4... (answered by josgarithmetic,MathLover1)

Which statements are true about the polynomial function? {{{ f(x) = x^4 + 5x^3 - x^2 - (answered by MathLover1)

11. Which statement about the function below is true? f(x) = x^3 -5x2 -25x + 125 = (x... (answered by Fombitz)

Given the following diagram for a continuous function. Answer true or false for the... (answered by solver91311)