Activity 9.6 Polynomial and Rational Functions Overview: This activity is a worksheet that asks students to match polynomial and rational equations to their graphs. Estimated Time Required: This activity should take approximately 20 minutes. Technology: None Prerequisite Concepts: Polynomials function graphs Power function graphs Rational function graphs Discussion: This is a good review of Chapter 9 concepts. Without using your graphing calculators, match each function with its graph below. Think about key characteristics of each function when trying to match it with its graph. a.) f x d.) f x 4x 1 x2 4 x2 b.) f x 4 x2 1 x2 e.) f x x 1 g.) f x x 1 x 3 2 c.) 2 x 3 f x 4x 1 x 2 x 1 f.) f x x 1 2 x 3 2 Write the letter of the corresponding function next to the graph. 20 50 15 40 10 30 5 20 -4 -2 2 4 -5 10 -10 -15 -4 -2 2 -10 -20 -4 -4 4 20 20 15 15 10 10 5 5 -2 2 4 -2 2 -5 -5 -10 -10 -15 -15 -20 -20 20 20 15 15 10 10 5 5 -2 2 -4 4 -2 2 -5 -5 -10 -10 -15 -15 -20 -20 20 15 10 5 -2 2 -5 -10 -15 -20 4 4 4

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# Activity 9.6 Polynomial and Rational Functions