Question

"Given the following relation, what is the domain and range? Then, decide if it is a function. {(3, 4), (-1,5), (-9, 0), (3, 2)}

A. Domain:{ 9. 1, 3} : Range: { 2, 0, 4, 5} : yes
B. Domain: { -2.0. 4, 5} ; Range: { 9, 1, 3} : no
C. Domain: { 9. 1. 3}Range: { 2. 0. 4. 5} : no
D Domain: { 2.0. 4. 5}: Range: { 9, 1. 3}: yes"

Answer 1

The domain of the relation is {3, -1, -9}, the range is {4, 5, 0, 2}, and it is not a function since the domain value '3' is paired with two different range values.

Step-by-step explanation:

When reviewing a set of ordered pairs to identify the domain and range, as well as determining if it is a function, you want to look at the first and second elements in each pair, respectively. The domain consists of all the first elements (the x-values) while the range consists of all the second elements (the y-values).

The given relation is {(3, 4), (-1,5), (-9, 0), (3, 2)}. The domain is the set of all the first elements: {3, -1, -9}. We repeat 3 only once because elements in a set are unique. The range is the set of all the second elements: {4, 5, 0, 2}. This relation is not a function because the element '3' in the domain is paired with two different range elements (4 and 2), which violates the definition of a function. A function requires each domain element to be paired with exactly one element in the range.

Therefore, the correct answer is Domain: {3, -1, -9}; Range: {4, 5, 0, 2}; and no, it is not a function.