Question

Determine algebraically ifthe function is even, odd, or neither.h(x)=x^2-4

Answer 1

Answer:

Notice that:

$\begin{gathered} h(-x)=(-x)^2-4, \\ h(-x)=x^2-4. \end{gathered}$

Therefore:

$h(-x)=h(x)\text{.}$

The above equation implies that h(x) is an even function.