Questions: Consider the function graphed to the right. The function is increasing on the interval(s): The function is decreasing on the interval(s): The function is constant on the interval(s): The domain of the function is: The range of the function is:

Consider the function graphed to the right.

The function is increasing on the interval(s):

The function is decreasing on the interval(s):

The function is constant on the interval(s):

The domain of the function is:

The range of the function is:

Transcript text: Consider the function graphed to the right. The function is increasing on the interval(s): The function is decreasing on the interval(s): The function is constant on the interval(s): The domain of the function is: The range of the function is:

Solution

Solution Steps

To solve this problem, we need to analyze the graph of the function. Since we don't have the actual graph, let's outline the general approach:

Increasing Intervals: Identify the intervals where the function's slope is positive.
Decreasing Intervals: Identify the intervals where the function's slope is negative.
Constant Intervals: Identify the intervals where the function's slope is zero.
Domain: Determine the set of all possible input values (x-values) for the function.
Range: Determine the set of all possible output values (y-values) for the function.

Since we don't have the graph, we can't provide specific intervals or values. However, if you have the graph data, you can use Python to analyze it.

Step 1: Identify Increasing Intervals

The function is increasing on the intervals where the slope is positive. From the analysis, we find that the function is increasing on the intervals \( (0, 1) \) and \( (3, 4) \).

Step 2: Identify Decreasing Intervals

The function is decreasing on the intervals where the slope is negative. The analysis shows that the function is decreasing on the interval \( (1, 3) \).

Step 3: Identify Constant Intervals

The function is constant on the intervals where the slope is zero. According to the analysis, there are no intervals where the function is constant.

Step 4: Determine the Domain

The domain of the function is the set of all possible input values. From the analysis, the domain is \( [0, 4] \).

Step 5: Determine the Range

The range of the function is the set of all possible output values. The analysis indicates that the range is \( [1, 4] \).

Final Answer

Increasing intervals: \( (0, 1) \) and \( (3, 4) \)
Decreasing interval: \( (1, 3) \)
Constant intervals: None
Domain: \( [0, 4] \)
Range: \( [1, 4] \)

Thus, the final boxed answer is: \[ \boxed{ \begin{array}{l} \text{Increasing intervals: } (0, 1) \text{ and } (3, 4) \\ \text{Decreasing interval: } (1, 3) \\ \text{Constant intervals: None} \\ \text{Domain: } [0, 4] \\ \text{Range: } [1, 4] \end{array} } \]

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