Question

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.
sorry, thats incorrect. try again?
(-7,-5)u(0,1)

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 given graph:

• For the left - hand part of the graph:
• We observe that the function is increasing from \(x=-7\) to \(x = - 5\). In interval notation, this is \((-7,-5)\).
• For the right - hand part of the graph:
• We observe that the function is increasing from \(x = 0\) to \(x=1\). In interval notation, this is \((0,1)\).

Answer:

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