Question

current objective
use a graph to determine intervals of increase and decrease

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.

provide your answer below:

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 left - hand part of the graph:

• For the left - hand curve (the lower part of the graph), we can see that it is increasing from \(x=-7\) to \(x = - 5\).
• For the right - hand part of the graph (the upper part of the graph), it is increasing from \(x = 0\) to \(x=1\).

Answer:

\((-7,-5)\cup(0,1)\)