# Sketching a function

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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)

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#### Solution Preview

see attachment

sketch the graph of the function y= -x^3+3x^2-4. be sure to include and lable:

1.) x and y intercepts

Let y=0, we get x intercepts:

-x^3+3x^2-4=0,

So x=-1, x=2

Let x=0 we get y-intecept

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#### Solution Summary

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

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