document.write( "Question 69783: I have a Calculus problem that asks me to:
\n" ); document.write( "Find a formula for a function f that satisfies the following condition.
\n" ); document.write( "It can not be a piecewise function.\r
\n" ); document.write( "\n" ); document.write( "lim f(x) = 0
\n" ); document.write( "x→ą∞\r
\n" ); document.write( "\n" ); document.write( "lim f(x) = -∞
\n" ); document.write( "x→0\r
\n" ); document.write( "\n" ); document.write( " f(2) = 0\r
\n" ); document.write( "\n" ); document.write( "lim f(x) = ∞
\n" ); document.write( "x→3+\r
\n" ); document.write( "\n" ); document.write( "lim f(x) = -∞
\n" ); document.write( "x→3-\r
\n" ); document.write( "\n" ); document.write( "So far I have:
\n" ); document.write( " $\"f%28x%29=%28x%2F%28x-3%29%29-1\"$
\n" ); document.write( "I'm not sure how to deal with the f(2)=0 without making it piecewise.
\n" ); document.write( "Any help would be greatly appreciated.
\n" ); document.write( "Thank you so much. \n" ); document.write( "

Algebra.Com's Answer #49723 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
To assure f(2)=0 you need a factor of (x-2) in the numerator.
\n" ); document.write( "--------
\n" ); document.write( "How about the following?
\n" ); document.write( "f(x)= (x-2)/[x(x-3)(x+3)]\r
\n" ); document.write( "\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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