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QUESTION IMAGE

determine the domain on which the following graph of f(x) is positive.

Question

determine the domain on which the following graph of f(x) is positive.

Explanation:

Step1: Identify x - values for positive y

The function \(y = f(x)\) is positive when the graph is above the x - axis.

Step2: Determine domain interval

From the graph, the x - values for which the graph is above the x - axis are between the two x - intercepts. Let the left - hand x - intercept be \(a\) and the right - hand x - intercept be \(b\). By observing the graph, if the x - intercepts are approximately \(x = 1\) and \(x = 6\), the function \(f(x)\) is positive for \(1

Answer:

\(1 < x < 6\)