Answer
The function is even.
Work Step by Step
The given function is
$\Rightarrow p(x)=-x^2+8$
Substitute $-x$ for $x$.
$\Rightarrow p(-x)=-(-x)^2+8$
Simplify.
$\Rightarrow p(-x)=-x^2+8$
Because $p(-x)=p(x)$, the function is even.
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