Given the function:
• You can graph it using a graphing tool:
You can identify the intervals on which the function is increasing and the intervals on which it is decreasing:
Notice that it increases on this interval:
Notice that it decreases on these intervals:
• By analyzing the graph. you can identify this Local Maximum (the highest y-value on the interval):
Hence, the answers are:
• The function is increasing on the open interval:
• It is on the open intervals:
• The function has a local maximum at: