1. Analyze the behavior of the function around the point :
The function is increasing before it reaches the point .
After reaching the point , the function is decreasing.
2. Recall the definitions of different types of extrema:
A relative maximum occurs when a function changes from increasing to decreasing.
A relative minimum occurs when a function changes from decreasing to increasing.
An absolute maximum is the highest value of the function over its entire domain.
An absolute minimum is the lowest value of the function over its entire domain.
3. Determine the type of extrema for the point