# Power - POWER FUNCTIONS AND EXPONENTIAL FUNCTIONS 1 Graph y...

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POWER FUNCTIONS AND EXPONENTIAL FUNCTIONS 1. Graph 1 y x = using the window [-5,5] x [-10,10]. a. As x approaches infinity, y approaches_______. b. As x approaches negative infinity, y approaches_______. c. As x approaches zero from the left, y approaches_______. d. As x approaches zero from the right, y approaches_______. e. The equations of the asymptotes are ____________________. 2. Graph 2 1 y x = using the window [-5,5] x [-2,10]. a. As x approaches infinity, y approaches_______. b. As x approaches negative infinity, y approaches_______. c. As x approaches zero from the left, y approaches_______. d. As x approaches zero from the right, y approaches_______. e. The equations of the asymptotes are ____________________. 3. Graph , yx = 3 y x = , and 2 y x = together using the window [0,2] x [0,2]. a. Why should we restrict the domain to ? 0 x b. In addition graph y x = and 3 y x = . What is the relationship of all the graphs for 01 x ≤≤ ? For 1 x > ? c. Which of the graphs above are concave up? Concave down? Would 5 y x = be concave up or down? Would 4 y x = be concave up or down?

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4. Graph 2 50 y x = and 3 y x = using the window [-25,25] x [-5000,5000]. a. Which of these functions seems to dominates the other? b. Change the window to [0,50] x [0,25000]. Does your answer to
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Power - POWER FUNCTIONS AND EXPONENTIAL FUNCTIONS 1 Graph y...

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