Question

The list of ordered pairs below represents a function. {(-5, –3), (0, –11), (-2, –8), (3, 2)}

Find the domain of the function. Select the correct answer below:

О 1-5, —3, —2,0, 3}
O {-11, –8, 2}
О {1-11, -8, —3, 2}
О {1-3, -2,0, 3}
О {1-5, -2,0, 2}
О {1-5, —2, 0, 3}

Answer 1

The domain of the function represented by the set of ordered pairs is the set of the first elements in each pair, which is {-5, -2, 0, 3}.

Step-by-step explanation:

The domain of a function consists of all the possible input values (x-values) which, when substituted into the function, will yield valid output values (y-values).

In the given list of ordered pairs, these represent the first elements of each pair. Therefore, the domain for the function defined by the set of ordered pairs {(-5, –3), (0, –11), (-2, –8), (3, 2)} is {-5, -2, 0, 3}. Each of these numbers is an x-value from the set, and we do not consider the y-values when determining the domain.