which graph shows a polynomial function of an even degree?

As we have already learned, the behavior of a graph of a polynomial function of the form, [latex]f\left(x\right)={a}_{n}{x}^{n}+{a}_{n - 1}{x}^{n - 1}++{a}_{1}x+{a}_{0}[/latex]. Example \(\PageIndex{14}\): Drawing Conclusions about a Polynomial Function from the Graph. See Figure \(\PageIndex{13}\). A polynomial function of degree \(n\) has at most \(n1\) turning points. This means that we are assured there is a valuecwhere [latex]f\left(c\right)=0[/latex]. At x= 3, the factor is squared, indicating a multiplicity of 2. If a function has a global maximum at a, then [latex]f\left(a\right)\ge f\left(x\right)[/latex] for all x. This means we will restrict the domain of this function to [latex]0

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