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

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

Solution

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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