Algebra.Com's Answer #553328 by ichigo449(30)![\"\"](\"/images/stars/stars-07.gif\")  
You can put this solution on YOUR website!
Rather than doing the question I will give you general info on rational functions as you seem confused:
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document.write( "A rational function is a function that can be written as the ratio of two polynomials where the denominator isn't zero.\r
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document.write( "f(x) = p(x) / q(x)\r
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document.write( "Domain\r
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document.write( "The domain of a rational function is all real values except where the denominator, q(x) = 0.\r
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document.write( "Y-Intercepts \r
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document.write( "Thinking geometrically, y-intercepts will occur when x = 0 so finding them becomes a simple f(0) = p(0)/q(0). \r
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document.write( "Roots\r
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document.write( "The roots, zeros, solutions, x-intercepts (whatever you want to call them) of the rational function will be the places where p(x) = 0. That is, completely ignore the denominator. Whatever makes the numerator zero will be the roots of the rational function, since 0/anything = 0. \r
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document.write( "If you can write it in factored form, then you can tell whether it will cross or touch the x-axis at each x-intercept by whether the multiplicity on the factor is odd or even. \r
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document.write( "Vertical Asymptotes\r
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document.write( "An asymptote is a line that the curve approaches but does not cross. The equations of the vertical asymptotes can be found by finding the roots of q(x). Completely ignore the numerator when looking for vertical asymptotes, only the denominator matters.\r
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document.write( "If you can write it in factored form, then you can tell whether the graph will be asymptotic in the same direction or in different directions by whether the multiplicity is even or odd.\r
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document.write( "Asymptotic in the same direction means that the curve will go up or down on both the left and right sides of the vertical asymptote. Asymptotic in different directions means that the one side of the curve will go down and the other side of the curve will go up at the vertical asymptote.\r
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document.write( "Horizontal Asymptotes\r
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document.write( "A horizontal line is an asymptote only to the far left and the far right of the graph. \"Far\" left or \"far\" right is defined as anything past the vertical asymptotes or x-intercepts. Horizontal asymptotes are not asymptotic in the middle. It is okay to cross a horizontal asymptote in the middle.\r
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document.write( "The location of the horizontal asymptote is determined by looking at the degrees of the numerator (n) and denominator (m).\r
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document.write( "If n\n" );
document.write( "If n=m, then y=an / bm is the horizontal asymptote. That is, the ratio of the leading coefficients.
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document.write( "If n>m, there is no horizontal asymptote. However, if n=m+1, there is an oblique or slant asymptote.
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document.write( "Using this information you can hopefully do the question. Good luck. \n" );
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