Question

get familiar with this topic by reviewing instruction and answering a couple of questions. question determine the interval(s) for which the function shown below is decreasing. write your response in interval notation using the symbol u when necessary. provide your answer below:

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 graph:

• From \( x =-\infty\) to \( x=-4\), as \( x\) increases, \( y\) decreases.
• From \( x = 0\) to \( x = 3\), as \( x\) increases, \( y\) decreases.

Answer:

\((-\infty,-4)\cup(0,3)\)