Step 2 Next find the horizontal asymptote if any This is done by determining the...
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Calculus
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 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 4 6 Y Y
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