Question

Suppose that the relation T is defined as follows. T= {(5,5), (-7,4),(4,0), (1, - 4)} Give the domain and range of T. Write your answers using set notation.​

Answer 1

The domain of T is {5, -7, 4, 1} and the range is {5, -7, 4, 1}

Explanation:

In the relation of a set of ordered pairs R = {(x, y)}

• The domain of the relation is the set of values of x

• The range of the relation is the set of values of y

∵ The relation T is defined as follows, T= {(5, 5), (-7, 4),(4, 0), (1, -4)}

∵ The first number in each ordered pair represents x

∴ x = 5, -7, 4, 1

∴ The set of values of x = {5, -7, 4, 1}

∵ The domain of the relation is the set of values of x

∴ The domain of T = {5, -7, 4, 1}

∵ The second number in each ordered pair represents y

∴ y = 5, 4, 0, -4

∴ The set of values of y = {5, 4, 0, -4}

∵ The range of the relation is the set of values of y

∴ The range of T = {5, -7, 4, 1}