MATH SOLVE

4 months ago

Q:
# Which of the following represents a function?

Accepted Solution

A:

Answer:All of the examples define relations between a domain and range.Such a relation will be a function if and only if each value in the domain corresponds to at most one value in the range.In the first example, the value β1 in the domain is associated with two values in the range, namely β5 and 1 .In the second example, the value β1 in the domain is associated with two values in the range, namely 7 and 1 .In the third example, the value 3 in the domain is associated with two values in the range, namely 2 and 4 .In the fourth example, each of the values in the domain is associated with one value in the range, so this describes a function. Note however that the values β4 and β7 are both mapped to 5 . So the function described is not one to one and consequently its inverse is not a function.