How to sketch the graph of a 3rd degree polynomial function

Sketch the graph of f(x)=x^3+5x^2+2x-8 by using end behavior, finding zeros (use the Rational Zeros Theorem and synthetic division), and explaining the behavior near each zero. Find a point between each zero.

*Note: The y-intercept is at -8. The graph should go down a little bit further than it is.


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