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homework assignment 3.3 rates of change and behavior of graphs score: 7…

Question

homework assignment 3.3 rates of change and behavior of graphs score: 7.6/11 answered: 9/11 question 11 consider the function in the graph to the right. the function has a maximum of at x = the function has a minimum of at x = the function is increasing on the interval(s): the function is decreasing on the interval(s): the domain of the function is: the range of the function is: question help:

Explanation:

Step1: Identify maximum

Observe the highest - point on the graph.

Step2: Identify x - value for maximum

Find the x - coordinate of the highest - point.

Step3: Identify minimum

Observe the lowest - point on the graph.

Step4: Identify x - value for minimum

Find the x - coordinate of the lowest - point.

Step5: Determine increasing intervals

Check where the graph is rising.

Step6: Determine decreasing intervals

Check where the graph is falling.

Step7: Find domain

Identify all possible x - values.

Step8: Find range

Identify all possible y - values.

Answer:

(Without the actual graph values, we can't give specific numerical answers. But the general form of answers would be:
The function has a maximum of <y - value of maximum> at x = <x - value of maximum>.
The function has a minimum of <y - value of minimum> at x = <x - value of minimum>.
The function is increasing on the interval(s): <list of increasing intervals>.
The function is decreasing on the interval(s): <list of decreasing intervals>.
The domain of the function is: <domain interval>.
The range of the function is: <range interval>.)