Question

mark the critical points on the following graph.

Explanation:

Identify critical points from the graph

Using the Critical Points knowledge point

$$
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$$

Verify coordinates of the identified points

The local maximum occurs at the peak of the curve:

$$ (x, y) = (-1, 4) $$

The local minimum occurs at the trough of the curve:

$$ (x, y) = (2, 1) $$

Answer:

The critical points on the graph are located at:

• \((-1, 4)\) (local maximum)
• \((2, 1)\) (local minimum)