document.write( "Question 295350: We need to find the verticle and horizontal asymptote of this:\r
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document.write( "y=((3x-6)/(2x^2 + 6x - 80)) \n" );
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Algebra.Com's Answer #212855 by stanbon(75887) ![]() You can put this solution on YOUR website! We need to find the verticle and horizontal asymptote of this: \n" ); document.write( "y=((3x-6)/(2x^2 + 6x - 80)) \n" ); document.write( "-------------- \n" ); document.write( "Horizontal? \n" ); document.write( "Procedure: \n" ); document.write( "Find the term with the highest power of the variable. \n" ); document.write( "That is 2x^2 in the denominator \n" ); document.write( "and 0x^2 in the numerator. \n" ); document.write( "--- \n" ); document.write( "Then y = 0x^2/2x^2 = 0/2 = 0 is the horizontal asymptote. \n" ); document.write( "------------------------ \n" ); document.write( "Vertical asymptote? \n" ); document.write( "Procedure: \n" ); document.write( "Factor the denominator: \n" ); document.write( "2(x^2+3x - 40) \n" ); document.write( "2(x^2+8x-5x-40) \n" ); document.write( "2(x(x+8)-5(x+8)) \n" ); document.write( "= 2(x+8)(x-5) \n" ); document.write( "--- \n" ); document.write( "Solve 2(x+8)(x-5) = 0 \n" ); document.write( "x = -8 or x = 5 \n" ); document.write( "--- \n" ); document.write( "You have vertical asymptotes at x = -8 and at x = 5 \n" ); document.write( "======================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "========================================================== \n" ); document.write( " \n" ); document.write( " |