Question

determine all intervals on which the graph of ( f ) is decreasing.

Explanation:

Step1: Recall the definition of a decreasing function

A function \(y = f(x)\) is decreasing on an interval if, for any two points \(x_1\) and \(x_2\) in the interval with \(x_1

Step2: Analyze the graph

Looking at the given graph of \(y = f(x)\):

• We observe the left - hand part of the graph.
• From \(x=-\infty\) (the far left) up to \(x = - 4\), as \(x\) increases, \(y=f(x)\) decreases.

Answer:

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