The function is $\"\"$ .

If $\"\"$ , then the function is said to be even.

If $\"\"$ , then the function is said to be odd.

Substitute $\"\"$ in $\"\"$ .

$\"\\\\f(-x)=\\frac{(-x)^2}{(-x)^4+1}\\\\\"$

$\"\\\\=\\frac{x^2}{x^4+1}\\\\$

Since $\"\"$ , the function $\"\"$ is an even function.

Graph :

Graph the function $\"\"$ .

$\"\"$

Observe the above graph :

It is symmetry with respect to the $\"\"$ axis.

So the function is an even function.

The function $\"\"$ is an even function.