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: Understand 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 of the function:

• The vertex of the parabola (since it is a U - shaped graph, which is a parabola) is at \( x=-1\).
• For \( x > - 1\), as \( x\) increases, \( y\) also increases.

Answer:

\((-1,\infty)\)