Question

State the range of the following relation and state if it is a function.

(2, 4), (8, 6), (5, 5), (3, 7), (4, 5)

A. {2, 4, 5, 8}; Yes
B. {4, 5, 6, 7}; Yes
C. {2, 4, 5, 8}; No
D. {4, 5, 6, 7}; No

Answer 1

The range of a function is all of the Y values. If there are no matching X values, then the relation is a function
The Y values are the second numbers in the parenthesis, so the range is {4,6,5,7,5} As you can see, there are two 5's that occur, but there are no duplicate X values, so this is a function. Thus, the answer is: B - {4,5,6,7}; Yes