Question

Given the relation {(2,4),(1,3), (0,2), (1,1)}, provide the domain and range for each relation. Is the relation a function?

A) Domain: {2, 1, 0, 1}, Range: {4, 3, 2, 1}; It is a function.
B) Domain: {2, 1, 0, 1}, Range: {4, 3, 2, 1}; It is not a function.
C) Domain: {4, 3, 2, 1}, Range: {2, 1}; It is a function.
D) Domain: {4, 3, 2, 1}, Range: {2, 1}; It is not a function.

Answer 1

The domain of the given relation is {2, 1, 0} and the range is {4, 3, 2, 1}. The relation is not a function.

Step-by-step explanation:

The domain of a relation is the set of all input values, or the x-values. The range of a relation is the set of all output values, or the y-values. To find the domain and range of the given relation {(2,4),(1,3), (0,2), (1,1)}, we look at the x-values and y-values respectively. The domain is {2, 1, 0} and the range is {4, 3, 2, 1}. A relation is a function if each input value (x-value) is matched with only one output value (y-value). In this case, the relation is not a function since the input value of 1 is matched with both the output values of 3 and 1.