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.

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.
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.
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Solution

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Solution Steps

Step 1: Identify the function's behavior

Examine the graph to determine where the function is increasing, decreasing, or constant.

Step 2: Determine increasing intervals

Identify the intervals on the x-axis where the function's y-values are rising as x increases.

Step 3: Determine decreasing intervals

Identify the intervals on the x-axis where the function's y-values are falling as x increases.

Step 4: Determine constant intervals

Identify the intervals on the x-axis where the function's y-values remain unchanged as x increases.

Final Answer

(a) The function is increasing on the interval \((-5, 5)\).

(b) There are no intervals where the function is decreasing.

(c) There are no intervals where the function is constant.

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