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Often a horizontal asymptote occurs in the graph of a rational function where a value is excluded from the range Example Study Guide and Intervention

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Study Guide and Intervention Graphing Rational Functions Chapter 8 20 Glencoe Algebra 2 Domain and Range Rational Function an equation of the fo rm f(x )

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8-3 Study Guide and Intervention Graphing Reciprocal Functions Vertical and Horizontal Asymptotes 158 Parent Function sol Function et Recipes y=

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Day 5: Characteristics of Graphs of Rational Functions Complete the “Study Guide and Intervention: Graphing Reciprocal Functions" document that is included

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Study Guide and Intervention Rational Function graph at x a Determine the equations of any vertical asymptotes holes in the graph of each rational function

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8-3 PDF Pass Chapter 8 19 Glencoe Algebra 2 Study Guide and Intervention (continued) Graphing Reciprocal Functions Transformations of Reciprocal Functions Equation Form f(x) = ?a x-h + k Horizontal Translation The vertical asymptote moves to x = h Vertical Translation The horizontal asymptote moves to y = k Refl ection The graph is refl

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Factor completely So f has three distinct real zeros x = —l x = l and x = — 2 The graph has two turning points Exercises 1 Graph the functionf(x) = —3x5 + 2x2 — l Describe the end behavior of the graph of the polynomial function using limits Explain your reasoning using the leading term test Lea" — 2

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