Recap 8.1 Direct variation: Inverse variation: Joint variation: Tell whether the following are inverse variation, direct variation, or neither. 1) 2) 3) 4) 5) The variable z varies jointly with x and y. Use the given values to write an equation relating x, y, and z. Then find y when x = 4 and y = 5. x = 8, y = 6, z = 12 1 Homework Evens Answers, pg 555556: 20. Inverse variation 22. Neither 28. 30. A 24. z = 2xy; 40 26. z = 20xy; 400 32. y = axz 2 40. a) b) About 26.27 Hz. 2 Date: ______________ Objective Graph Simple Rational Functions (8.2) • Parent function: (Hyperbola) D: ____________________ R: ____________________ • Graph of V asymptote: ________ H asymptote: ________ Ex 1: Graph the following and state the domain and range. a) b) 1) Identify + graph the asymptotes 2) Plot two points to the left and right of the vertical asymptote (4 in total). 2 2 D: ____________________ D: ____________________ R: ____________________ R: ____________________ 3 • Graph of V asymptote: H asymptote: Ex 2: Graph and state the domain and range. a) 2 2 D: ____________________ R: ____________________ b) 2 2 D: ____________________ R: ____________________ 4
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