In this assignment you will do a complete analysis of the function () = 31/3 Follow the basic guidelines below, including all mathematical steps. Include a scanned image of your final hand drawn graph of the function. You must include narrative text explaining your process and conclusions to your reader. Guidelines for sketching a curve y = f(x) by hand: 1. Determine the domain of f. 2. Find any intercepts of f, if possible. 3. Test for symmetry or periodicity. 4. Find any asymptotes of f by evaluating the appropriate limits. 5. Determine the intervals of increase and decrease. 6. Locate extreme points. 7. Determine intervals of concavity. 8. Locate inflection points. 9. Sketch the curve. To check your hand drawn graph of () = 31/3 , graph the function using computer software. Include your computer generated graph in your report and discuss the differences between your hand drawn graph and the computer generated graph. Note that the computer- generated graph is not providing your answers, but supporting the mathematical steps and calculations, you made before using technology to graph the function. Merely pointing to the graph to explain any of your answers above is not an acceptable method of demonstrating understanding.

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