(15 points) suppose that f(x) = x4 – 7x3. (a) list all the critical values of f(x). note: if there are no critical values, enter 'none'. (b) use interval notation to indicate where f(x) is increasing. note: use 'inf' for o, '-inf' for -00, and use 'u' for the union symbol. increasing: (c) use interval notation to indicate where f(x) is decreasing. decreasing: (d) list the x values of all local maxima of f(x). if there are no local maxima, enter 'none'. x values of local maximums = (e) list the x values of all local minima of f(x). if there are no local minima, enter 'none'. x values of local minimums = (f) use interval notation to indicate where f(x) is concave up. concave up: (g) use interval notation to indicate where f(x) is concave down. concave down: (h) list the x values of all the inflection points of f. if there are no inflection points, enter 'none'. x values of inflection points = (1) use all of the preceding information to sketch a graph of f. when you're finished, enter a "1" in the box below.
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Category: geography |
Author: Selma Yafa
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