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

Answer:

Even

Step-by-step 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) = $f(x) = \frac{2}{x^{2}}$

Now putting -x in place of x

$f(-x) = \frac{2}{(-x)^{2}}\\ = \frac{2}{x^{2}} = f(x)$

Hence, given function is an Even function.