Solved: The line is called a slant asymptote if as or

Chapter 3, Problem 3.4.40

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The line is called a slant asymptote if as or because the vertical distance between the curve and the line approaches 0 as becomes large. Find an equation of the slant asymptote of the function and use it to help sketch the graph. [For rational functions, a slant asymptote occurs when the degree of the numerator is one more than the degree of the denominator. To find it, use long division to write .] y x 1 3 x 1 2 xy x 2

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