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: Understand the concept of 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 given graph

Looking at the parabola (quadratic function) graph. The vertex of the parabola (where the function changes from decreasing to increasing) is at \(x = - 1\).
For \(x>-1\), as \(x\) values increase, the \(y\) - values of the function also increase.

Answer:

\((-1,\infty)\)