Question

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

Answer 1

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.