Question: I need solve this questions Work Problem 1 ( Consider the function f(x) = x4 + 2x3. (a) Find the x- and y-intercepts of the

I need solve this questions

I need solve this questions Work Problem 1 ( Consider the function

Work Problem 1 ( Consider the function f(x) = x4 + 2x3. (a) Find the x- and y-intercepts of the graph of f (if any). (b) Find the intervals on which f is increasing or decreasing and the local extreme values (x- and y-coordinates) of f. (c) Find the intervals of concavity and inflection points of f. (d) Sketch the graph of f. Work Problem 2 ( (a) Sketch a graph of a function f such that: o f' > 0 and f" 0 and f" > 0, for x > 3. (b) Does the graph of the function f in Part (a) have an inflection point? Explain

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