f(x)=x4 f(-x)=(-x)4=x4

f(x)= f(-x)

So y= x4 is an even function.

2. let y=f(x) define r.

f(x)= x2+ 1 f(-x)=(-x)2+ 1 = x2+ 1

f(x)= f(-x)

So y=x2+ 1 is an even function.

3. Let y=f(x) and define that x is not equal to 0.

f(x)= 1/x3 f(-x)= 1/(-x3)=- 1/x3

f(x)= - f(-x)

So y=x2+ 1 is odd function.

4. Let y=f(x) be defined as x ≥-1.

So y is a parity function.

5. Let y=f(x) and define that x is not equal to 0.

f(x)= x+ 1/x f(-x)=-x+ 1/(-x)=-(x+ 1/x)

So y= x+ 1/x is odd function.