Question

this question has two parts. first, answer part a. then, answer part b. part a everglades water levels are recorded at several stations throughout the florida everglades. the graph shows the water levels at one station over the course of a year. part a use the graph to identify the extrema of the function. drag each point to the type of extrema that best describes it. if the function has no extrema, drag none.

Explanation:

Step1: Understand extrema

Extrema are the maximum and minimum points of a function.

Step2: Identify local maxima

Local maxima are points where the function changes from increasing to decreasing. On the graph, we can see points like the peaks at around water - level values of approximately 10.4 and 10.8.

Step3: Identify local minima

Local minima are points where the function changes from decreasing to increasing. On the graph, we can see points like the troughs at around water - level values of approximately 9.4 and 9.6.

Answer:

Local maxima exist at the peak points of the graph (e.g., water - level values approximately 10.4 and 10.8). Local minima exist at the trough points of the graph (e.g., water - level values approximately 9.4 and 9.6). There may be no global maximum or minimum shown if the graph is just a portion of a larger function, but within the given graph, we have identified local extrema.