The graph represents a relation where x represents the independent variable and y represents the dependent variable.

Question

A coordinate plane with points at negative 5 comma negative 4, negative 2 comma 0, 0 comma negative 1, 1 comma 3, and 4 comma 1.

What is the domain of the relation?
{−5, 0, 3, 4}
{−4, −1, 0, 1, 3}
{−5, −2, 0, 1, 4}
{−5, −4, −2, −1, 0, 1, 3, 4}

Answer 1

The domain of a relation consists of all the unique x-values (independent variable) present in the set of points given. The points provided are:

• (-5, -4)
• (-2, 0)
• (0, -1)
• (1, 3)
• (4, 1)

Now, let's extract the x-values from each of these points:

• From (-5, -4), the x-value is -5.
• From (-2, 0), the x-value is -2.
• From (0, -1), the x-value is 0.
• From (1, 3), the x-value is 1.
• From (4, 1), the x-value is 4.

Now we can compile the unique x-values:

• -5
• -2
• 0
• 1
• 4

Thus, the domain of the relation is:

{-5, -2, 0, 1, 4}

From the options provided, the correct choice is:

{−5, −2, 0, 1, 4}.