Question

svlc algebra 1a - standard (15260)
representing relationships
x | y
-6 | -7
-1 | 1
0 | 9
3 | -2
what is the domain of the given function?
option 1: {x | x = -6, -1, 0, 3}
option 2: {y | y = -7, -2, 1, 9}
option 3: {y | y = -7, -6, -2, -1, 0, 1, 3, 9}
option 4: {x | x = -7, -6, -2, -1, 0, 1, 3, 9}

Explanation:

Step1: Recall domain definition

The domain of a function is the set of all input values (x - values) for which the function is defined.

Step2: Identify x - values from the table

From the given table, the x - values (inputs) are - 6, - 1, 0, and 3.

Step3: Match with the options

We need to find the set that represents the x - values. The first option \(\{x\mid x = - 6,-1,0,3\}\) lists the x - values we identified. The second option is about y - values (range), the third option is an incorrect set of y - values, and the fourth option is an incorrect set of x - values (mixing x and y values).

Answer:

\(\{x\mid x = - 6,-1,0,3\}\) (the first option among the given choices)