Sketch a graph of a fifth-degree polynomial f(x) such that f(x) < 0 when x< -2 or 4 < x < 7, and f(x)>0 when -2<x<0, 0<x<4 or when x>7. What conclusions can you make about the sign of the leading coefficient and its end behaviour (the sign changes the direction of the graph)? Explain your answer using terminology
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