Question

Give the domain and range of the given relation, then determine if the relation is a function.

{(−3,−2), (5,1), (0,−4), (−1,−2), (−2,3), (1,−6)} ​

Domain:

Range:

Answer 1

Domain:{-3, 5, 0, -1, -2, 1}

Range:{-2, 1, -4, 3, -6}


It’s a function

Answer 2

Domain: {-3, 5, 0, -1, -2, 1}

Range: {-6, -4, -2, 1, 3}

The relation is a function.

Explanation:

The domain of this relation is the set of all x-values from the ordered pairs, which are:

Domain: {-3, 5, 0, -1, -2, 1}

The range of the relation is the set of all y-values from the ordered pairs, which are:

Range: {-6, -4, -2, 1, 3}

To determine if the relation is a function, we need to check if there are any repeated x-values with different y-values. If there are no such cases, then the relation is a function.

Looking at the domain and range, we can see that each x-value has only one corresponding y-value, so there are no repeated x-values with different y-values. Therefore, the relation is a function...