Question

State the domain and range for the following relation. Then determine whether the relation represents a function.Does the relation represent a function?A.No, because each element in the first set does not correspond to exactly one element in the second set.B.Yes, because each element in the first set corresponds to exactly one element in the second set.C.No, because an element in the second set corresponds to multiple elements in the first set.D.Yes, because each element in the second set corresponds to exactly one element in the first set.

Answer 1

Domain is the set of all elements given in a set that corresponds to a value in another set which is the Range.

From the given proble, domain is the set of Friend's name, while range is their Birthday.

Domain will be :

{Sandy, Emily, Marie, John, Mica}

Range will be :

{Jan 15, Jan 26, Feb 27, Oct 2}

The answer is Choice D or 4th Option.

A relation is a function IF and ONLY IF there's only ONE distinct value of range in every element in the domain.

In this case, Emily and Marie have the same birthday (Jan 26). Since there are two values of element in the range, this is NOT a function.

The answer is Choice C. No,