Question: i need help in this problem and to understand the next example problem. thank you 7. Suppose that f(x) = x4 4x3. a b. c.

i need help in this problem and to understand the next example problem. thank you

7. Suppose that f(x) = x4 4x3. a b. c. d e ._h 2w: Find the (x, y) coordinates of all x and y intercepts. (3 pts) Determine the critical numbers of f. (6 pts) Find the interval(s) on which f is increasing. (4 pts) Find the interval(s) on which f is decreasing. (4 pts) Find the (x, y) coordinates of all local extreme points. Be sure to say what type of extreme point it is, and to justify your answer. (6 pts) Find the interval(s) on which f is concave up. (4 pts) Find the interval(s) on which f is concave down. (4 pts) Find the (x, y) coordinates of all points of inflection. Be sure to justify that each point you determine is a point of inflection. (5 pts) Graph the function. (4 pts)

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