Question

Find the domain and range of the relation, and determine whether it is a function. {(2, 1), (-4, 5), (1, 7), (2, -3), (-1, 2)}

Options:
A. Domain: {-2, -1, 1, 2, 4}; Range: {-3, 1, 2, 5, 7}; Function
B. Domain: {-2, -1, 1, 2, 4}; Range: {1, 2, 3, 5, 7}; Not a function
C. Domain: {-4, -1, 1, 2}; Range: {-3, 1, 2, 5, 7}; Function
D. Domain: {4, -1, 1, 2}; Range: {-3, 1, 2, 5, 7}; Not a function

Answer 1

The domain of the relation is {-4, -1, 1, 2}, the range is {-3, 1, 2, 5, 7}, and the relation is not a function.

Step-by-step explanation:

The given relation is a set of ordered pairs, where the first element is the input (x-value) and the second element is the output (y-value). To find the domain, we need to determine all the possible x-values, which are the first elements of the ordered pairs. In this case, the x-values are 2, -4, 1, 2, and -1. So, the domain is {-4, -1, 1, 2}.

To find the range, we need to determine all the possible y-values, which are the second elements of the ordered pairs. In this case, the y-values are 1, 5, 7, -3, and 2. So, the range is {-3, 1, 2, 5, 7}.

To determine whether the relation is a function, we need to check if each x-value is associated with only one y-value. If there are any repeated x-values with different y-values, then the relation is not a function. In this case, the x-value 2 is associated with both y-values 1 and -3. So, the relation is not a function.