mark the critical points on the following graph.

Explanation:

Step 1: Identify points where the derivative is zero

Critical points occur where the slope is zero (horizontal tangent).

Step 2: Locate horizontal tangent points on the graph

At ( x = -1 ), the graph has a local maximum with a horizontal tangent.
At ( x = 3 ), the graph has a local minimum with a horizontal tangent.

Answer:

The critical points are at ((-1, 5)) and ((3, -5)).