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.

provide your answer below:

Explanation:

Step1: Recall 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 graph

Looking at the parabola (quadratic function) \(y = f(x)\). The vertex of the parabola (the minimum point) occurs at \(x = 2\).
For \(x>2\), as \(x\) values increase, the \(y\) - values of the function also increase.

Answer:

\((2,\infty)\)