Question

7 multiple choice 10 points what is the domain of the function in the table? x y -1 7 5 25 7 31 11 43 {-1,5,11} {-1,5,7,11} {7,25,31,43} {-1,5,7,11,25,31,43}

Explanation:

Step1: Recall the definition of domain

The domain of a function is the set of all input values (x - values) for which the function is defined. In a table representing a function, the domain consists of the values in the x - column.

Step2: Identify the x - values from the table

Looking at the given table, the x - values are - 1, 5, 7, and 11.

Step3: Determine the domain set

The set of these x - values is \(\{-1, 5, 7, 11\}\). We can eliminate the other options:

• The set \(\{-1, 5, 11\}\) is missing the x - value 7.
• The set \(\{7, 25, 31, 43\}\) is the set of y - values (range), not domain.
• The set \(\{-1, 5, 7, 11, 25, 31, 43\}\) includes both x and y values, which is incorrect as domain only includes x - values.

Answer:

B. \(\{-1,5,7,11\}\)