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4. The following problems are about sketching graphs of rational functions. Each part of the problem will provide you with a piece of information that

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4. The following problems are about sketching graphs of rational functions. Each part of the problem will provide you with a piece of information that helps you determine how to sketch the graph. . _(x29)(1:3)(:c1) (a) Con31der f (x) W i. What is the yintercept of f (3:)? ii. What is the domain of f(:c)? iii. At what values of so does f (3:) have a vertical asymptote? iv. Find all :cintercepts of f (x). N56) 562 + 33: + 2 and determine the polynomial p(:c) that f (x) behaves like for large values of x. v. Use polynomial long division to rewrite f (at) in the form p(:c) +

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