Question: Determine the range of the following graph: \[ \begin{array}{c|c} x & y \\ \hline -12 & -12…

Determine the range of the following graph:

\[ \begin{array}{c|c} x & y \\ \hline -12 & -12 \\ -11 & -11 \\ -10 & -10 \\ -9 & -9 \\ -8 & -8 \\ -7 & -7 \\ -6 & -6 \\ -5 & -5 \\ -4 & -4 \\ -3 & -3 \\ -2 & -2 \\ -1 & -1 \\ 0 & 0 \\ 1 & 1 \\ 2 & 2 \\ 3 & 3 \\ 4 & 4 \\ 5 & 5 \\ 6 & 6 \\ 7 & 7 \\ 8 & 8 \\ 9 & 9 \\ 10 & 10 \\ 11 & 11 \\ 12 & 12 \\ \end{array} \]

Answer

Solution

To determine the range of the given graph, we need to find the set of all possible \( y \)-values that the graph takes. Observe the graph: The highest point on the graph is at \( y = 8 \). The lowest point on the graph is at \( y = -7 \). Therefore, the range of the graph is: \[ [-7, 8] \] This means the graph includes all \( y \)-values from \(-7\) to \(8\), inclusive.