Question

list the interval(s) on which f is increasing. the interval(s) on which f is increasing is/are . (type your answer in interval notation. use a comma to separate answers as needed.)

Explanation:

Step1: Recall increasing - function definition

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 given graph of the function \(y = f(x)\), we observe that the function is rising in two intervals. Starting from the left, the function is increasing from \(x=- 4\) to \(x = - 2\) and from \(x = 2\) to \(x=10\).

Answer:

\((-4,-2),(2,10)\)