true or false Rational Functions, calculus homework help

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Mathematics

Description

Determine whether the statement is true or false. Justify your answer.

1. A rational function must have at least one vertical asymptote.

Use a graphing utility to graph the function. Explain why there is no vertical asymptote when a superficial examination of the function might indicate that there should be one.

2. g(x) = fraction numerator x squared plus x minus 2 over denominator x minus 1 end fraction


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Explanation & Answer

1. False. Since q(x) = 1 is a polynomial (deg = 0) and p(x) = 2 is also a polynomial (deg = 0), we have that the rational...


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