Graphing Polynomial Functions

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What is the leading coefficient of a polynomial?

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The leading coefficient of a polynomial is the coefficient of the term with the highest degree. It determines the end behavior of the polynomial function.

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How do you determine if a polynomial function is even, odd, or neither?

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CCSS.HSF.BF.B.3

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What is a relative minimum in the context of polynomial functions?

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A relative minimum is a point on the graph of a polynomial function where the function value is lower than the values of the function at nearby points. It is a local low point.

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Describe the end behavior of a polynomial function with a negative leading coefficient and an odd degree.

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What does it mean for a polynomial function to have a positive leading coefficient?

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What is the significance of the degree of a polynomial function?

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How can you find the relative maximum or minimum of a polynomial function?

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To find relative maxima or minima, take the derivative of the polynomial, set it to zero to find critical points, and use the second derivative test or the first derivative test to determine if these points are maxima or minima.

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What is the difference between a polynomial function and a rational function?

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What is the standard form of a polynomial function?

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