Question

what range is shown in the table?{x: 2, 1, 3, 2, 4; y: -2, 7, 7, 7, ?}options:{-2, 3, 7}-2, 7{1, 2, 3, 4}1, 4

Explanation:

Step1: Identify range definition

The range of a relation is the set of all distinct $y$-values from the table.

Step2: List all $y$-values

From the table, the $y$-values are $-2, 7, 7, 7$.

Step3: Extract distinct $y$-values

Remove duplicates: $\{-2, 7\}$. Note: The missing $y$-value for $x=4$ does not affect the identified distinct values, and the options include $\{-2, 3, 7\}$ which is likely a typo, but the only option matching the distinct $y$-values logic (accounting for possible error) is the set of unique $y$-values present.

Answer:

$\{-2, 3, 7\}$ (corrected intended answer should be $\{-2,7\}$, but this is the closest option matching range as a set of $y$-values)

Note: The correct range from the provided visible $y$-values is $\{-2,7\}$, but among the given options, $\{-2, 3, 7\}$ is the only one containing the observed $y$-values, suggesting a possible typo in the table or options.