The value y is a function of x if for each element x in the domain, there is/are how many value (s) of y in the range?

A. An infinite number

B. Exactly one

C. A finite number

D. Zero

In a function f (x):

set of all the values that x can take is called the domain of the function.

Set of all the values that f (x) (or y) can take is called the range of the function.

Range can have either finite or infinite number of values depending on the function its domain.

For example, f (x) = x^2

can have infinite number of values in range.

whereas:

f (x) = [x], 0
where [x] is the greatest integer function,

has finite number of values in its range.