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. Step 1: Observe the graph and identify the points where the function changes direction from increasing to decreasing. These points are potential maximums or minimums.
2. Step 2: Look for the highest point on the graph where the function reaches its peak value. This is the maximum value of the function.
3. Step 3: Note the x-coordinate of the highest point on the graph. This x-coordinate corresponds to the location of the maximum.
4. Step 4: Verify that the function decreases immediately after this point, confirming it is indeed a maximum.
5. Step 5: Compare the x-coordinate of the maximum point with the given options (x=2, x=-2, x=3, x=-4) to determine the correct answer.