A student lists five correct points for plotting the graph of : , , , ,

MATHEMATICS · Single correct · AoPS · Mathematics · More Variables · More Variables

Problem

A student lists five correct points for plotting the graph of y=x5y = x^5: (−2,−32)(-2,-32), (−1,−1)(-1,-1), (0,0)(0,0), (1,1)(1,1), (2,32)(2,32). Which additional point below, if mistakenly added to the set, would make the plotted graph inconsistent with the actual curve? (a) (−3,−243)(-3,-243) (b) (−1,1)(-1,1) (c) (12, 132)(\tfrac{1}{2},\,\tfrac{1}{32}) (d) (4,1024)(4,1024)

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