When graphing the function f of x is equal to negative start absolute value x plus 5 end absolute value plus 12 on your graphing calculator, what is the most appropriate viewing window for determining the domain and range of the function?

The graph of f(x) = −|x + 5| + 12 is an upside-down V with vertex at (−5, 12). Its x-intercepts are −17 and 7, so a window from −20 to 20 on the x-axis includes both intercepts and the vertex. The y-window from −20 to 20 also includes the vertex and enough of the graph to show it continues downward. Thus, the most appropriate choice is the window with both axes ranging from −20 to 20.

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