8. Consider the polynomial function f(x) = x – 3x³ + 3x? whose domain is (-0, 0). Find the following: (a) The intervals on which f is increasing and the intervals on which it is decreasing. (b) The open intervals on which the graph of f is concave up and the open intervals on which the graph is concave down. (c) The local extreme values of f. (d) The global extreme values of f on the closed, bounded interval [-1,2]. (e) The points of inflection of f. (f) Sketch the graph of f on [-1,2] using this information.

8. Consider the polynomial function f(x) = x – 3x³ + 3x? whose domain is (-0, 0). Find the following: (a) The intervals on which f is increasing and the intervals on which it is decreasing. (b) The open intervals on which the graph of f is concave up and the open intervals on which the graph is concave down. (c) The local extreme values of f. (d) The global extreme values of f on the closed, bounded interval [-1,2]. (e) The points of inflection of f. (f) Sketch the graph of f on [-1,2] using this information.

Name: How can this be solved? 8. Consider the polynomial function f(x) = x4
Uploaded: 2024-03-20T07:06:27.000Z
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Description: How can this be solved? 8. Consider the polynomial function f(x) = x4 – 3x³ + 3x² whose domain is (-0, 0). Find thefollowing:(a) The intervals on which f is increasing and the intervals on which it is decreasing.(b) The open intervals on which the gr