1. Sketch the graph of the function by collecting the following information. You must show all...

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1. Sketch the graph of the function by collecting the following information. You must show all your work to receive full credit. Your sketch should match the information you provide in a-e, and no credit will be given for a correct graph with no supporting information. f(x) = x 4 x - 1 a. Domain and Range b. Intercepts: x-intercepts and y-intercepts c. Asymptotes: Vertical Asymptotes and Horizontal Asymptotes d. Increasing/Decreasing: Label what intervals are increasing and what intervals are decreasing. When finding the first derivative - show your work. Final answer should be in interval notation. Are there any local maxes/local mins? If so, where? e. Concavity: Label what intervals are concave up and what intervals are concave down. When finding the second derivative show your work. Final answer should be in interval notation. f. Graph 2. A manufacturer wants to design an open box having a square base and a surface area of 108 square inches. What dimensions will produce a box with maximum volume? 1. Sketch the graph of the function by collecting the following information. You must show all your work to receive full credit. Your sketch should match the information you provide in a-e, and no credit will be given for a correct graph with no supporting information. f(x) = x 4 x - 1 a. Domain and Range b. Intercepts: x-intercepts and y-intercepts c. Asymptotes: Vertical Asymptotes and Horizontal Asymptotes d. Increasing/Decreasing: Label what intervals are increasing and what intervals are decreasing. When finding the first derivative - show your work. Final answer should be in interval notation. Are there any local maxes/local mins? If so, where? e. Concavity: Label what intervals are concave up and what intervals are concave down. When finding the second derivative show your work. Final answer should be in interval notation. f. Graph 2. A manufacturer wants to design an open box having a square base and a surface area of 108 square inches. What dimensions will produce a box with maximum volume?