Question

is the function $c(x) = x^2 - 8x$ even, odd, or neither?
even odd neither
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Explanation:

Step1: Define even/odd rules

A function is even if $c(-x)=c(x)$, odd if $c(-x)=-c(x)$.

Step2: Compute $c(-x)$

$c(-x)=(-x)^2-8(-x)=x^2+8x$

Step3: Compare to $c(x)$ and $-c(x)$

$c(x)=x^2-8x$, $-c(x)=-x^2+8x$. $c(-x)$ matches neither.

Answer:

neither