Question

3c over what region in the domain is f(x) constant? write the region in interval notation. region = enter your next step here the graph below.

Explanation:

Step1: Identify constant region

A function is constant when its graph is horizontal (same \(y\)-value for all \(x\) in the region). From the graph, the horizontal segment starts at \(x = 0\) (open circle, so not including \(0\)) and extends to the right (towards positive infinity).

Step2: Write interval notation

For an open interval starting at \(0\) and going to infinity, we use \((0, \infty)\) since \(0\) is not included (open circle) and infinity is always exclusive in interval notation.

Answer:

\((0, \infty)\) (or depending on the graph's actual constant part, but from the visible part, if the horizontal line starts at \(x = 0\) (open circle at \(x = 0\)) and goes right, the interval is \((0, \infty)\))