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From Graphs To Functions

Activity Overview

Students utilize graphs of polynomial functions to determine the zeros of the functions.

Key Steps

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    Students will apply knowledge of the multiplicity of zeros of a function to write possible functions in factored form.

     

    After using the Point On tool to find the zeros of the given graph, students will classify the zeros by their type and use them to form a possible function with the smallest degree.

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    Given another graph of a polynomial functions, students will repeat the procedure from Problem 1 to find the zeros and classify them by type. This time, students will determine a possible function with a given degree.

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