document.write( "Question 1102927: If f is a continuous function with even symmetry and limit as x approaches infinity of f of x equals 10, which of the following statements must be true?\r
\n" ); document.write( "\n" ); document.write( "I. the limit as x goes to negative infinity of f of x equals 10
\n" ); document.write( "II. There are no vertical asymptotes.
\n" ); document.write( "III. The lines y = 10 and y = –10 are horizontal asymptotes.\r
\n" ); document.write( "\n" ); document.write( "A) I only
\n" ); document.write( "B) II only
\n" ); document.write( "C) I and II only
\n" ); document.write( "D) All statements are true. \n" ); document.write( "

Algebra.Com's Answer #717965 by robertb(5830) $\"\"$ $\"About$

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Because f(x) = f(-x) (f is an even function), I is automatically true, and III is false. II depends on the domain of the function, and whether
\n" ); document.write( "it is continuous over that domain. In general, it is NOT true. (Take $\"f%28x%29+=+10+%2B+1%2Fx%5E2\"$ , which is continuous over its domain R\{0}, but has the
\n" ); document.write( "vertical asymptote x = 0.)
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