document.write( "Question 910574: Do I have this correct?
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document.write( "consider the rational function:
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document.write( "x-intercept: numerator set to zero, therefore (-12,0) \r
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document.write( "y-intercept: all x's set to zero, therefore (0,12) \r
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document.write( "Vertical Asymptote: set denominator to zero to find restraints, therefore -2,2 would it be both? \r
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document.write( "Horizontal Asymptote: compare degrees 12x^0/x^2 so y=0 or none. \r
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document.write( "Do I have this correct? please describe what I have correct or incorrect in my reasoning. \r
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document.write( "Thank you \n" );
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Algebra.Com's Answer #552559 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! Do I have this correct? \n" ); document.write( "consider the rational function: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x-intercept: numerator set to zero, therefore (-12,0) \n" ); document.write( " \r\n" ); document.write( "No, the numerator is 12. You cannot set 12 equal to 0.\r\n" ); document.write( "12 is always 12, never 0. So there is no x-intercept.\r\n" ); document.write( "The graph does not intersect the x-axis.\r\n" ); document.write( " \n" ); document.write( "y-intercept: all x's set to zero, therefore (0,12) \n" ); document.write( " \r\n" ); document.write( "No. To set x=0 means to replace x by 0.\r\n" ); document.write( " \n" ); document.write( "Vertical Asymptote: set denominator to zero to find restraints, therefore -2,2 would it be both? \n" ); document.write( " \r\n" ); document.write( "No, \r\n" ); document.write( "\r\n" ); document.write( " \n" ); document.write( "Horizontal Asymptote: compare degrees 12x^0/x^2 so y=0 or \n" ); document.write( " \r\n" ); document.write( "No y=0 MEANS the x-axis is the horizontal asymptote, not \"none\". \r\n" ); document.write( "\r\n" ); document.write( "Here is the graph, gotten by plotting and connecting points\r\n" ); document.write( "\r\n" ); document.write( "(-8,.12),(-6,.1875), (-4,.333), (-3,.48), (-2,.75), (-1,1.333), (0,3), (1,12),\r\n" ); document.write( "(3,12), (4,3), (5, 1.333), (6,.75), (7,.48), (8,.333), (10,.1875), (12,.12)\r\n" ); document.write( "\r\n" ); document.write( "\n" ); document.write( " |