Is it possible for an odd function to have the interval 0 infinity) as its domain?

NO!

Prove by contradiction. First, define the the following terms:

odd function: f (-x) = - f (x) ] and domain: all values of x

Proof: Suppose there f (-x) = - f (x) such that x is a negative integer, then f (-x) is a positive number ( - (-x) = + x) and - f (x) is a negative number (negative of a positive number is a negative number). Since a positive number cannot equal a negative number, then this is not possible.

Answer: No

Answer with Step-by-step explanation:

Yes, it is possible for an odd function to have the interval 0 to infinity as its domain.

Let f (x) = - x

f (-x) = - (-x)

= x

and - f (x) = - (-x)

= x

Clearly, f (-x) = - f (x)

Hence, f (x) = - x is an odd function.

and clearly the domain of f (x) = - x is the set of all real numbers which also contains the interval (0,∞)

Hence, it is possible for an odd function to have the interval 0 to infinity as its domain.