1963 AHSME Problems/Problem 1

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Problem

Which one of the following points is not on the graph of $y=\dfrac{x}{x+1}$?

$\textbf{(A)}\ (0,0)\qquad \textbf{(B)}\ \left(-\frac{1}{2},-1\right)\qquad \textbf{(C)}\ \left(\frac{1}{2},\frac{1}{3}\right)\qquad \textbf{(D)}\ (-1,1)\qquad \textbf{(E)}\ (-2,2)$

Solution

Looking at the domain of the graph, $x$ cannot be $-1$. Therefore, the answer is $\textbf{(D)}$