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

Algebra ->  Trigonometry-basics -> 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       Log On


   

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) About Me  (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
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Factor::
f(x) = [(x-2)(x+2)]/[x(x-2)(x+1)]
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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
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Cheers,
Stan H.
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