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Sketching a function

Sketch the graph of the function y= -x^3+3x^2-4. Be sure to include and label:

1.) x and y intercepts

2.) asymptotes

3.) 1st and 2nd derivatives

4.) increasing and decreasing intervals

5.) intervals of concavity

6.) inflection point(s)

7.) relative extrema (max and min)

Solution Summary

This shows how to sketch a graph of a function and label intercepts, asymptotes, derivatives, concavity, inflection points, and extrema.