Given the graph of the following function, determine where the graph reaches a maximum.

• A. $x=2$
• B. $x=-2$
• C. $x=3$
• D. $x=-4$

Answer: (A)

Verified step by step guidance

1. Observe the graph of the function provided. The graph is a curve that appears to have a peak or maximum point.
2. Identify the highest point on the graph. This is where the function reaches its maximum value.
3. Look at the x-coordinate of this highest point. This will tell you where the maximum occurs.
4. From the graph, the maximum point appears to be at x=3, where the curve reaches its highest y-value.
5. Verify that this point is indeed a maximum by checking that the curve decreases on either side of this point.