Question

what is the range of the table?
(table with x and y values: x: 0, 2, 3, -2; y: 0, -4, 3, 1)
options:
{-4, -2, 0, 1, 2, 3}
{-4, 0, 1, 3}
{-2, 0, 2, 3}
{(0,0), (2,-4), (3,3), (-2,1)}

Explanation:

Step1: Recall the definition of range

The range of a relation (from a table) is the set of all \( y \)-values (outputs) from the ordered pairs.

Step2: Identify the \( y \)-values from the table

From the table, the \( x \)-values are \( 0, 2, 3, -2 \) and the corresponding \( y \)-values are \( 0, -4, 3, 1 \).

Step3: List the unique \( y \)-values

The unique \( y \)-values are \( -4, 0, 1, 3 \).

Answer:

\(\{-4, 0, 1, 3\}\) (the second option: \(\{-4, 0, 1, 3\}\))