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

The vertex of the parabola is the lowest point on the graph, which appears to be at approximately \((-3, -7)\).

Step 2: Determine the increasing interval

A parabola opens upwards if the coefficient of the \(x^2\) term is positive. Since this parabola opens upwards, the function is increasing for all \(x\)-values greater than the x-coordinate of the vertex.

Step 3: Write the interval

The x-coordinate of the vertex is -3. The function is increasing for \(x > -3\). In interval notation, this is written as \((-3, \infty)\).

Final Answer:

\(\boxed{(-3, \infty)}\)

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