Questions: Determine the domain on which the following function is increasing.

Determine the domain on which the following function is increasing.
Transcript text: Determine the domain on which the following function is increasing.
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Solution

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Solution Steps

Step 1: Identify the Vertex of the Parabola

The vertex of the parabola is the lowest point on the graph. From the graph, the vertex is at the point (0, -4).

Step 2: Determine the Direction of the Parabola

The parabola opens upwards, indicating that the function decreases to the left of the vertex and increases to the right of the vertex.

Step 3: Identify the Domain Where the Function is Increasing

Since the function is increasing to the right of the vertex, the domain where the function is increasing is \( x > 0 \).

Final Answer

The domain on which the function is increasing is \( (0, \infty) \).

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