document.write( "Question 1204539: Given the Rational Function f(x)= p(x)/q(x), which of the following statements are true? Check all that apply.\r
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document.write( "a. If q(x) has a higher degree term than p(x) then the Horizontal Asymptote is y=0\r
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document.write( "b. If the highest degree term in p(x) is greater than the highest degree term in q(x) there will be more than one Horizontal Asymptote\r
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document.write( "c. If the highest degree term of p(x) is the same as the highest degree term of q(x) then the Horizontal Asymptote is x=0\r
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document.write( "d. If f(x) has a HORIZONTAL ASYMPTOTE y=a, then as the input values increase or decrease without bound, the output values will approach a\r
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document.write( "e. The Horizontal Asymptote is a guiding line for the function as the input values increase or decrease without bound \n" );
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Algebra.Com's Answer #840850 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "a. If q(x) has a higher degree term than p(x) then the Horizontal Asymptote is y=0 \n" ); document.write( "TRUE \n" ); document.write( "b. If the highest degree term in p(x) is greater than the highest degree term in q(x) there will be more than one Horizontal Asymptote \n" ); document.write( "FALSE (a) There will be no horizontal asymptote; (b) no function has more than one horizontal asymptote \n" ); document.write( "c. If the highest degree term of p(x) is the same as the highest degree term of q(x) then the Horizontal Asymptote is x=0 \n" ); document.write( "FALSE x=0 is not the equation of a horizontal line; and the asymptote is not y=0 either \n" ); document.write( "d. If f(x) has a HORIZONTAL ASYMPTOTE y=a, then as the input values increase or decrease without bound, the output values will approach a \n" ); document.write( "TRUE \n" ); document.write( "e. The Horizontal Asymptote is a guiding line for the function as the input values increase or decrease without bound \n" ); document.write( "TRUE -- assuming a reasonable meaning of \"guiding line\" \n" ); document.write( " \n" ); document.write( " |