Question

use the graph of the function ( f(x) ) below to find the absolute minimum value.

Explanation:

Step1: Recall the definition of absolute minimum

The absolute minimum value of a function \(y = f(x)\) on its domain is the smallest \(y -\)value (output) that the function attains.

Step2: Analyze the graph

Looking at the \(y -\)coordinates of the points on the graph of \(y = f(x)\). As \(x\) increases, the function value decreases further and further (the graph goes downwards without bound as \(x\) approaches a certain value on the right - hand side).

Answer:

The function \(y = f(x)\) has no absolute minimum value since the graph of the function extends downward indefinitely.