document.write( "Question 1022074: I need help with this too:
\n" ); document.write( "Sketch the graph of y = $\"%28x+-+2%29%28x+-+4%29%2Fx%28x+%2B+1%29%28x+-+3%29%28x+-+4%29\"$ \n" ); document.write( "

Algebra.Com's Answer #637768 by Boreal(15235) $\"\"$ $\"About$

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It has vertical asymptotes at -1,0,3, and a hole at 4, because the (x-4) divide out.
\n" ); document.write( "Then look at critical points on each side.
\n" ); document.write( "When x goes to - infinity, two minuses on top, 4 on the bottom, and it goes to 0 from the positive side. At x=2, the function is 0.
\n" ); document.write( "When x is between -1 and 0, (x+1) is positive, so the function is negative.
\n" ); document.write( "When x is greater than 0 and less than 2, the function is positive.
\n" ); document.write( "x is between 2 and 4 not inclusive, the function is negative.
\n" ); document.write( "When x is greater than 4, it goes to zero from the positive side, because all the terms are positive.
\n" ); document.write( "The reason the function goes to 0 when x goes to infinity is that there is an x^2 on top and an x^4 on the bottom as the highest power terms.
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