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  3. 5. consider the function f(x) = -x^3 + 2x^2 + 2. (

5. Consider the function f(x) = -x^3 + 2x^2 + 2. (a) Find the domain of...

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Basic Math

5. Consider the function f(x) = -x^3 + 2x^2 + 2.

(a) Find the domain of the function and all its x and yintercepts.

(b) Is the function even or odd or neither?

(c) Find the critical points, all local extreme values of f, andthe intervals on which f is increasing or decreasing.

(d) Find the intervals where f is concave up or concave down andall inflection points.

(e) Use the information you have found to sketch the graph of y=f(x).

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