determine the absolute minimum value of the function $f$.

Explanation:

Step1: Understand the concept of absolute minimum

The absolute minimum of a function is the lowest (y)-value that the function attains over its entire domain.

Step2: Analyze the graph

Looking at the graph of the function (f), we observe the (y)-coordinates of all the points on the curve.

Step3: Identify the lowest (y)-value

From the graph, we can see that the lowest (y)-value (the point with the smallest (y)-coordinate) occurs at (y = - 3).

Answer:

The absolute minimum value of the function (f) is (-3).