Question

Determine algebraically whether the function is even, odd, or neither even nor odd.

f as a function of x is equal to 2 divided by x squared.

Neither
Even
Odd

Answer 1

I think
The answer probably is "EVEN"
I hope it's right and it's helps you!

Answer 2

Even

Explanation:

A function is said to be even function if we put -x instead of x and we get the same result of both function. i.e. f(-x) = f(x)

A function is said to be odd function if we put -x instead of x and we get the result as negative of that function. i.e. f(-x) = -f(x)

Now we have function, f(x) =
`f(x) = (2)/(x^(2))`

Now putting -x in place of x

`f(-x) = (2)/((-x)^(2))\\ = (2)/(x^(2)) = f(x)`

Hence, given function is an Even function.