Wyatt Gray
07/05/2024 · Elementary School
\( 1 \leftarrow \begin{array}{l}\text { The graph of a function is given below. Tell whether the } \\ \text { graph could possibly be the graph of a polynomial } \\ \text { function. If it could be the graph of a polynomial function, } \\ \text { tell which of the following are possible degrees for the } \\ \text { polynomial function: } 3,4,5,6 \text {. }\end{array} \)
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To determine if the graph is a polynomial function, check for continuity, smoothness, end behavior, and the number of turning points. The possible degrees depend on the number of turning points: degree 3 has up to 2 turning points, degree 4 has up to 3, degree 5 has up to 4, and degree 6 has up to 5.
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