if a function defined as  f : N → N f(x) = (x - 1)/2 Then which of the following is true regarding this function?

Given: f(x) = (x - 1)/2 = y

• This given function is defined for the domain as N which is having the codomain as N

Explanation:

Definition of a function:

• Note that the given expression is not a function by the definition of the function.
• A single-valued function is a function for each point in the domain, that has a unique value in the range.
• Also we know that the range is the subset of codomain.

Here, for, x = 1 → y = 0 which is not the element of codomain N, so for this value of x in the domain we do not get any image or output which is violating the definition of the function.

• So, the given expression is not a function actually so the given data is invalid.