# Graph the polynomial function. f(x)=−x^{4}+3x^{3}−x+1

Graph the polynomial function. $f\left(x\right)=-{x}^{4}+3{x}^{3}-x+1$
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Step 1
$f\left(x\right)=-{x}^{4}+3{x}^{3}-x+1$
The leading coefficient is -1 (negative) and the degree is 4 (even)
Therefore
and
Step 2