Question

Give the domain and range.

0 2 4 - 2 6 10

a. domain: {0, 2, 4), range: {2, 6, 10}
b. domain: {0}, range: {2}
c. domain: {2, 6, 10), range: {0, 2,4}
d. domain: {2}, range: {0}​

Answer 1

The domain: {0, 2, 4}

The range: {2, 6, 10}

Thus, option (a) is correct.

Explanation:

From the given diagram

• The set X = {0, 2, 4}

• The set Y = {2, 6, 10}

We know that the domain of a relation is the set of all the x-values of the set X. In other words, the domain of relation includes all the input values.

Thus, the domain: {0, 2, 4}

We know that the range of a relation is the set of all the y-values of the set Y. In other words, the range of relation includes all the output values.

Thus, the range: {2, 6, 10}

Therefore, option (a) is correct.