Polynomial Functions and Their Graphs

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  1. Which of the six graphs shown on the preceding page are the graphs of polynomial functions?

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  2. Which of the polynomial functions graphed on the preceding page have even degree?

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  3. Which of the polynomial functions graphed on the preceding page have a negative leading coefficient?

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  4. For each of the polynomial functions graphed on the preceding page, list the zeros of the function.

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  5. List the (graphed) polynomial functions which have zeros of multiplicity 2 or 4.

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  6. List the (graphed) polynomial functions which have zeros of multiplicity 3.

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  7. Guess the equation of the polynomial function graphed in the lower left corner of the page. Use Graphmatica or a graphing calculator to check your work.