Suppose the number of prisoners held in a certain type of prison, measured in thousands, can be described by the polynomial - 2.
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The x-intercepts of the piecewise function are 1.59 and 17 and the intervals where g(x) is positive are (-2,0) and [2,17)
<h3>The graph of the function</h3>The piecewise function is given as:
See attachment for the graph of the piecewise function.
<h3>The x-intercepts of the piecewise function</h3>This is the point where the piecewise function crosses the x-axis.
From the attached graph, the graph crosses the x-axis at x = -2, x = 0 and x = 17
Hence, the x-intercepts of the piecewise function are -2, 0 and 17
<h3>The intervals where g(x) is positive</h3>This is the range of x value where g(x) > 0
From the attached graph, g(x)> 0 between x = -2 & x = 0 and between x = 2 (inclusive) & x = 17
Hence, the intervals where g(x) is positive are (-2,0) and [2,17)
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