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Points not on the graph

Source: AHSME 1963 Problem 1

January 9, 2014
AMC

Problem Statement

Which one of the following points is not on the graph of y=xx+1y=\dfrac{x}{x+1}?
<spanclass=latexbold>(A)</span> (0,0)<spanclass=latexbold>(B)</span> (12,1)<spanclass=latexbold>(C)</span> (12,13)<spanclass=latexbold>(D)</span> (1,1)<spanclass=latexbold>(E)</span> (2,2)<span class='latex-bold'>(A)</span>\ (0,0)\qquad <span class='latex-bold'>(B)</span>\ \left(-\dfrac{1}{2},-1\right) \qquad <span class='latex-bold'>(C)</span>\ \left(\dfrac{1}{2},\dfrac{1}{3}\right) \qquad <span class='latex-bold'>(D)</span>\ (-1,1) \qquad <span class='latex-bold'>(E)</span>\ (-2,2)