To determine the range of the function shown on the graph with the points \((-7, 8)\) and \((-2, -9)\), we need to look at the \(y\)-values of the endpoints and any other \(y\)-values that might occur on the curve that connects these two points.
- The first point \((-7, 8)\) has a \(y\)-value of 8.
- The second point \((-2, -9)\) has a \(y\)-value of -9.
Assuming that the diagonal curve is continuous and behaves smoothly between these two points, the graph will include every \(y\)-value from the maximum \(y\)-value (8) to the minimum \(y\)-value (-9).
Thus, the range of the function would be:
\[ [-9, 8] \]
This means the range includes all \(y\)-values from \(-9\) to \(8\), inclusive.
So, if you have options listed (A, B, C, D) representing different ranges, look for the one that matches \([-9, 8]\).