Question

function ofX is zero is an even function or odd function​

Answer 1

Answer:

f(x)=0

Step-by-step explanation:

Both, and it is the only real-valued one to have this behavior.

More precisely, if f(x) is even, then for all x in a convenient domain,

f(x)=f(−x)

whereas if f(x) is odd,

f(−x)=−f(x)

Therefore, if f(x) is both even and odd, it follows from the two definitions above

f(x)=−f(x)

2f(x)=0

f(x)=0 for all x.