To graph polynomial functions find the zeros and their multiplicities determine the end behavior and ensure that the final graph has at most n 1 turning points. A polynomial function of degree n has at most n 1 turning points.

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### The graph of a polynomial function changes direction at its turning points.

**How to know if a graph is a polynomial function**. If the graph crosses the x axis and appears almost linear at the intercept it is a single zero. If the graph touches the x axis and bounces off of the axis it is a zero with even multiplicity. Determine the y y intercept 0 p 0 0 p 0.

Given a graph of a polynomial function of degree n identify the zeros and their multiplicities. The graph of a polynomial function changes direction at its turning points. Process for graphing a polynomial determine all the zeroes of the polynomial and their multiplicity.

To graph polynomial functions find the zeros and their multiplicities determine the end behavior and ensure that the final graph has at most n 1 turning points. Use the fact above to determine the x x intercept that corresponds to each zero will cross the x x axis or just touch it and if the x x intercept will flatten out or not. A polynomial function of degree n has at most n 1 turning points.

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