Question

what is the domain of the given function?

x	y
-6	-7
-1	1
0	9
3	-2

○ {x|x = -6, -1, 0, 3}
○ {y|y = -7, -2, 1, 9}
○ {x|x = -7, -6, -2, -1, 0, 1, 3, 9}
○ {y|y = -7, -6, -2, -1, 0, 1, 3, 9}

Explanation:

Step1: Recall the definition of domain

The domain of a function (represented as a set of ordered pairs from a table) is the set of all input values (the \( x \)-values in the table).

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

Looking at the table, the \( x \)-values are \( -6 \), \( -1 \), \( 0 \), and \( 3 \).

Step3: Match with the options

The first option is \( \{x|x = -6, -1, 0, 3\} \), which lists the \( x \)-values (domain) from the table. The other options either list \( y \)-values (range) or incorrect \( x \)-values.

Answer:

\(\{x|x = -6, -1, 0, 3\}\) (the first option)