Question

3b what is the region of the domain where ( f(x) ) is decreasing? write the region in interval notation. region = enter your next step here

Explanation:

Step1: Identify decreasing intervals

A function is decreasing when as \(x\) increases, \(y\) decreases. From the graph, we observe the left - most part of the graph (before \(x = - 4\)) is decreasing.

Step2: Determine interval notation

The domain where the function is decreasing starts from negative infinity (since the graph extends to the left without bound) and goes up to \(x=-4\) (the point where the function stops decreasing and starts increasing or has a change in behavior). In interval notation, we use \((-\infty, - 4)\) because the function is decreasing for all \(x\) values less than \(-4\).

Answer:

\((-\infty, -4)\)