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CPMP Course 2, Unit 1, Lesson 1, Inv. 2 Power Function p.12

Use the sliders to explore the relationship between the power r, the constant of proportionality k, and the numerical patterns relating x and y. To see patterns that help answer this question, you might begin by studying examples in which k=1 and r= 1, 2, 3, 4, 5, and 6. Then explore what happens for positive and negative values of the proportionality constant k. Describe the patterns you observe.