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: (B)

Verified step by step guidance

1. Identify the point on the graph where the function reaches its highest value. This is the maximum point.
2. Look for the peak of the curve where the slope changes from positive (increasing) to negative (decreasing).
3. From the graph, observe that the peak occurs near the x-coordinate where the curve reaches its highest y-value.
4. Note the x-coordinate of this peak point by checking the x-axis value directly below the highest point on the curve.
5. Conclude that the graph reaches a maximum at this x-coordinate, which corresponds to the value where the function's derivative changes sign from positive to negative.