Question

question
determine the interval(s) for which the function shown below is increasing.
write your response in interval notation using the symbol u when necessary.
sorry, thats incorrect. try again?
(-∞, -5) u (-2,2)

Explanation:

Step1: Recall the definition of an increasing function

A function \(y = f(x)\) is increasing 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:

• For \(x\in(-\infty, - 4)\), as \(x\) increases, \(y\) increases.
• For \(x\in(3,\infty)\), as \(x\) increases, \(y\) increases.

Answer:

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