Questions: Use the graph to determine a. open intervals on which the function is increasing, if any. b. open intervals on which the function is decreasing, if any. c. open intervals on which the function is constant, if any. 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) (-1, ∞). (Type your answer in interval notation. Use a comma to separate answers as needed.) B. There is no interval on which the function is increasing. b. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is decreasing on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) B. There is no interval on which the function is decreasing.

Use the graph to determine a. open intervals on which the function is increasing, if any. b. open intervals on which the function is decreasing, if any. c. open intervals on which the function is constant, if any. 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) (-1, ∞). (Type your answer in interval notation. Use a comma to separate answers as needed.) B. There is no interval on which the function is increasing. b. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is decreasing on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) B. There is no interval on which the function is decreasing.
Transcript text: Use the graph to determine a. open intervals on which the function is increasing, if any. b. open intervals on which the function is decreasing, if any. c. open intervals on which the function is constant, if any. 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) $(-1, \infty)$. (Type your answer in interval notation. Use a comma to separate answers as needed.) B. There is no interval on which the function is increasing. b. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is decreasing on the interval(s) $\square$ (Type your answer in interval notation. Use a comma to separate answers as needed.) B. There is no interval on which the function is decreasing.
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Solution

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Solution Steps

Step 1: Identify the intervals where the function is increasing
  • From the graph, observe where the function is moving upwards as you move from left to right.
  • The function is increasing on the interval \((-1, \infty)\).
Step 2: Identify the intervals where the function is decreasing
  • From the graph, observe where the function is moving downwards as you move from left to right.
  • The function is decreasing on the interval \((-\infty, -1)\).
Step 3: Identify the intervals where the function is constant
  • From the graph, observe if there are any horizontal segments where the function does not change.
  • There is no interval where the function is constant.

Final Answer

  • The function is increasing on the interval \((-1, \infty)\).
  • The function is decreasing on the interval \((-\infty, -1)\).
  • There is no interval where the function is constant.
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