In Exercises $21-24$, give a reason why each graph cannot represent a polynomial function that has the highest-degree term $2 x^{5}$. (GRAPH CAN'T COPY).
Added by Victor Manuel H.
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This means that if a graph has more than $5$ distinct $x$-intercepts, it cannot represent a polynomial function of degree $5$ or less. Second, we know that a polynomial function of degree $n$ has at most $n-1$ local extrema (i.e. maximum or minimum points). This Show more…
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