document.write( "Question 81213: I am trying to find the vertical asympote, the horizontal asympote and the x intercept for this problem: $\"y=+6%2F+%28x%5E2+%2B4%29\"$ Then I have to graph it. Can somebody please help me? \n" ); document.write( "

Algebra.Com's Answer #58205 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!
I am trying to find the vertical asympote, the horizontal asympote and the x intercept for this problem: $\"y=+6%2F+%28x%5E2+%2B4%29\"$ Then I have to graph it. Can somebody please help me?
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "To find vertical asymptotes, after simplifying,\r\n" );
document.write( "set the denominator = 0. \r\n" );
document.write( "\r\n" );
document.write( " +  = \r\n" );
document.write( "\r\n" );
document.write( " = \r\n" );
document.write( "\r\n" );
document.write( " = ą\r\n" );
document.write( "\r\n" );
document.write( " = ą\r\n" );
document.write( "\r\n" );
document.write( "This is imaginary so there are no vertical asymptotes.\r\n" );
document.write( "\r\n" );
document.write( "------------------------\r\n" );
document.write( "\r\n" );
document.write( "To find horizontal asymptotes, look at the term on top\r\n" );
document.write( "and bottom with the largest exponent of x:\r\n" );
document.write( "\r\n" );
document.write( "1. If the largest exponent on top is greater that the largest\r\n" );
document.write( "exponent on the bottom, there is no horizontal asymptote.\r\n" );
document.write( "\r\n" );
document.write( "2. If the largest exponent on top is equal to the largest\r\n" );
document.write( "exponent on the bottom, the horizontal asymptote has the\r\n" );
document.write( "equation:\r\n" );
document.write( "\r\n" );
document.write( "     coefficient of largest power of x on top\r\n" );
document.write( "y = ------------------------------------------\r\n" );
document.write( "     coefficient of same power of x on bottom     \r\n" );
document.write( "\r\n" );
document.write( "3. If the largest exponent on top is less that the largest\r\n" );
document.write( "exponent on the bottom, the horizontal asymptote is the\r\n" );
document.write( "x-axis, whose equation is y = 0 \r\n" );
document.write( "\r\n" );
document.write( "In your peoblem the largest power of x on the top is\r\n" );
document.write( "the zero power, and the largest poower of x on the bottom\r\n" );
document.write( "is 2.  So this is case 3, and the horizontal\r\n" );
document.write( "asymptote is y = 0 or the x-axis.\r\n" );
document.write( "\r\n" );
document.write( "To graph, find some points:\r\n" );
document.write( "\r\n" );
document.write( "(-4,0.3), (-2,.75), (0, 1.5), (2,.75), (4,0.3)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "There is no x-intercept for the curve never touches\r\n" );
document.write( "the x-axis but has it as its horizontal asymptote.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );