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of the Derivative f (x) = x /3 - 400x using various of me steps are best done analy bedily, while other steps can be done with a graphing uuh windows on a graphing calculator. Experiment with both approaches and try to find a good balance. We also present a schemati 1. Use the guideline in $4.4 to sketch the curve: f(x) = 2x3 + 3x2 - 120x Find a window that gives a better record-keeping procedure to keep track of discoveries as they are made. A). Domain, Symmetry, Asymptotes, Intercepts, . . . graph of f than those in Figure 4.44. + co; these limits determine end behavior. Slant asymptotes occur with rational functions in which the degree of the numerator is one more than the degree of the denominator. 8. Find the intercepts. The y-intercept of the graph is found by setting x = 0. The x-intercepts are found by solving f(x) = 0; they are the real zeros (or roots) of f 9. Choose an appropriate graphing window and plot a graph. Use the results of the previous steps to graph the function. If you use graphing software, check for consistency with your analytical work. Is your graph complete-that is, does it show all the essential details of the function