Questions: Determine the largest open intervals of the domain over which each function is (a) increasing, (b) decreasing, and (c) constant. (a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is increasing on the interval(s) . (Type your answer in interval notation. Use a comma to separate answers as needed.) B. The function is never increasing.

Determine the largest open intervals of the domain over which each function is (a) increasing, (b) decreasing, and (c) constant. (a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is increasing on the interval(s) . (Type your answer in interval notation. Use a comma to separate answers as needed.) B. The function is never increasing.

Transcript text: Determine the largest open intervals of the domain over which each function is (a) increasing, (b) decreasing, and (c) constant. (a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is increasing on the interval(s) $\square$ . (Type your answer in interval notation. Use a comma to separate answers as needed.) B. The function is never increasing.

Solution

Solution Steps

Step 1: Identify the intervals where the function is increasing

To determine where the function is increasing, look for intervals where the graph is moving upwards as you move from left to right. From the graph, the function is increasing in the intervals:

From $ x = -6 $ to $ x = -4 $
From $ x = 1 $ to $ x = 3 $

Step 2: Identify the intervals where the function is decreasing

To determine where the function is decreasing, look for intervals where the graph is moving downwards as you move from left to right. From the graph, the function is decreasing in the intervals:

From $ x = -4 $ to $ x = 1 $
From $ x = 3 $ to $ x = 5 $

Step 3: Identify the intervals where the function is constant

To determine where the function is constant, look for intervals where the graph is a horizontal line. From the graph, there are no intervals where the function is constant.