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identify the interval where the function is increasing. 3 < x < 6 -2 < …

Question

identify the interval where the function is increasing. 3 < x < 6 -2 < x < 0 x > 3 x > -2

Explanation:

Step1: Analyze the graph

For a parabola opening upwards (as in the graph), the function is decreasing to the left of the vertex and increasing to the right of the vertex.

Step2: Locate the vertex

From the graph, the \(x -\) coordinate of the vertex is \(x = 3\).

Step3: Determine the increasing interval

Since the parabola opens upwards, the function is increasing for \(x>3\).

Answer:

C. \(x > 3\)