Question

which function is both even and odd???

Answer 1

i could think of one such function
f(x) =0
notice here : f(-x) = -f(-x)

Answer 2

you can also prove it :
since, its both even and odd,
f(x) = f(-x) = -f(-x)
so, 2 f(-x) = 0 ----> f(-x)=0 ---->f(x)=0

Answer 3

ok thanks

Answer 4

can u tell me plz the difference between zero function 0:f.......>g and the function defined as f(x)=0....is there any difference between them