document.write( "Question 973447: Please please help!!!! \r
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document.write( "h(x)=((x^2)(e^x))/x \r
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document.write( "The function h is defined above. Which of the following are true about the graph of y=h(x)?
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document.write( "-The graph has a vertical asymptote at x=0
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document.write( "-The graph has a horizontal asymptote at y=0
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document.write( "-The graph has a minimum point\r
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document.write( "I know the minimum point is correct but the booklet is telling me that graph has a horizontal asymptote y=0 but I believe that is not true because for it to y=0 the denominator leading coefficient exponent value must be greater then the numerator value which is not the case unless I'm missing something. Thank you!!!
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Algebra.Com's Answer #595661 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! h(x)=((x^2)(e^x))/x \r \n" ); document.write( "\n" ); document.write( "The function h is defined above. Which of the following are true about the graph of y=h(x)? \n" ); document.write( "-The graph has a vertical asymptote at x=0 \n" ); document.write( "-The graph has a horizontal asymptote at y=0 \n" ); document.write( "-The graph has a minimum point\r \n" ); document.write( "\n" ); document.write( "I know the minimum point is correct but the booklet is telling me that graph has a horizontal asymptote y=0 but I believe that is not true because for it to y=0 the denominator leading coefficient exponent value must be greater then the numerator value which is not the case unless I'm missing something. \n" ); document.write( "--------------- \n" ); document.write( "No vertical asymptote. \n" ); document.write( "It has a minimum @ x = -1 \n" ); document.write( "It has a horizontal asymptote y = 0. \n" ); document.write( "As x increases in the negative direction, e^x approaches zero faster than x goes negative. \n" ); document.write( "------------- \n" ); document.write( "x = 0 --> y = 0 \n" ); document.write( "x = -5 --> y = -0.0337 \n" ); document.write( "x = -10 --> y = -0.0005 \n" ); document.write( "x = -20 --> y = -4.1e-8 \n" ); document.write( "x = -30 --> y = -2.8e-12 \n" ); document.write( " |