Question

question
determine the interval(s) for which the function shown below is decreasing. report your
answer using interval notation.
write your response in interval notation using the symbol u when necessary,
sorry, thats incorrect. try again?
(2,∞)
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Explanation:

Step1: Recall the definition of a decreasing function

A function \(y = f(x)\) is decreasing 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 graph of the function (a parabola opening upwards), we observe the direction of the curve. The function is decreasing to the left of its vertex.
The vertex of the parabola (from the graph) has an \(x -\) coordinate of \(3\).

Step3: Write the interval in interval notation

The interval where the function is decreasing is \((-\infty,3)\)

Answer:

\((-\infty,3)\)