Questions: State the domain and range of the relation given in the table below, and determine if it is a function. x -5 -5 11 8 -4 20 y 15 6 -6 4 -13 22 Domain: Range: Is the relation a function? Yes No

State the domain and range of the relation given in the table below, and determine if it is a function.

x -5 -5 11 8 -4 20
y 15 6 -6 4 -13 22

Domain:
Range:

Is the relation a function?
Yes
No

Transcript text: State the domain and range of the relation given in the table below, and determine if it is a function. \begin{tabular}{|r|r|r|r|r|r|r|} \hline$x$ & -5 & -5 & 11 & 8 & -4 & 20 \\ \hline$y$ & 15 & 6 & -6 & 4 & -13 & 22 \\ \hline \end{tabular} Domain: \{ $\square$ \} Range: \{ $\square$ \} Is the relation a function? Yes No

Solution

Solution Steps

Step 1: Domain Determination

The domain of the relation is the set of all unique $x$ values from the table. In this case, the domain is: $[-5, -4, 8, 11, 20]$.

Step 2: Range Determination

The range of the relation is the set of all unique $y$ values corresponding to the $x$ values in the table. In this case, the range is: $[-13, -6, 4, 6, 15, 22]$.

Step 3: Function Determination

Since there exists at least one $x$ value that is associated with more than one $y$ value, the given relation is not a function.