Friday, February 12, 2010

True or false:if p(x) is a polynomial, then?

if p(x) is a polynomial, then the function f(x)=p(x)/(x-1) has a vertical asymptote at x=1True or false:if p(x) is a polynomial, then?
False. The function doesn鈥檛 exist for x-1.True or false:if p(x) is a polynomial, then?
Not necessarily. p(x) could be x-1 or something multiplied by that binomial. There wouldn't be an asymptote there, but rather, a removable discontinuity there (a hole).
true.

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