Examine the graph. Which statements are true about the function represented by the graph? Select all that apply. The function is negative over the interval (−16,0).
The function is negative over the interval (−5,3).
The function is positive over the interval (3,∞).
The function is positive over the interval (−∞,−5).
The function is positive over the interval (−5,3).
The function is negative over the interval (−∞,−5).

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Explanation:

The portion below the x axis is when f(x) is negative. This happens on the interval . Note how -5 and 3 are the x intercepts or roots. So because f(x) is negative when we can say f(x) is negative over the interval (-5, 3). This is interval notation and not ordered pair notation.

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The function f(x) is positive in two places. When x < -5 and when x > 3. This is where the purple parabola is above the x axis.

The x < -5 portion converts to the interval notation (−∞,−5)

The x > 3 portion converts to the interval notation (3,∞)

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step-by-step explanation: