Question

determine the domain on which the following graph of f(x) is negative.

Explanation:

Step1: Identify x-intercepts

The graph intersects the x - axis at \(x = 0\) and \(x=- 8\) (by observing the points where the graph crosses the x - axis).

Step2: Analyze where \(y=f(x)<0\)

A function \(y = f(x)\) is negative when its graph is below the x - axis. From the graph, we can see that the graph is below the x - axis (where \(y<0\)) between the x - intercepts. So the domain where \(f(x)\) is negative is \(-8 < x<0\).

Answer:

The domain where \(f(x)\) is negative is \(-8 < x<0\) (or in interval notation \((-8,0)\))