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Step 2 Next, find the horizontal asymptote, if any. This is done by determining the ratio of the degree of the polynomial in the
Step 2 Next, find the horizontal asymptote, if any. This is done by determining the ratio of the degree of the polynomial in the numerator to the degree of the denominator polynomial. If that ratio is less than one, then y = 0 is a horizontal asymptote. If the ratio is equal to one, then the horizontal asymptote is determined by the quotient of the leading coefficients of the numerator and denominator polynomials. If the ratio is greater than one, the graph of g has no horizontal asymptote. (Enter NONE in any unused answer blanks.) y= Exercise (d) Plot additional solution points as needed to sketch the graph of the rational function. Step 1 To graph the function you begin by plotting the intercepts and sketching the asymptotes. Then, to clarify the curve, you plot at least one point between and one point beyond each x-intercept and vertical asymptote. (This shows the behavior near the asymptotes and shows the shape of the curve elsewhere.) Complete the table of values below to determine points on the graph. -6 -4 -2 0 2 6
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