# Graph y=1/x

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The graph of the function y=1/x consists of two pieces. As the value of x approaches infinity we see that y tends more and more towards 0. Similarly, for large values of y, the value of x is very small and approaches closer and closer towards zero.

Some points on the graph of the function are:

The x-axis and the y-axis are known as the “asymptotes” for the graph. This is because the graph of the function slowly approaches closer and closer to the x-axis and the y-axis but never actually touches the x-axis or the y-axis.

The graph is symmetric about the origin and the two “pieces” of the graph are mirror images of each other. The shape of the graph is called a “rectangular hyperbola”.

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