Mathematical Graph of 1/x

A clear depiction of the mathematical function y = 1/x, illustrated on a standard Cartesian coordinate system. The iconic red hyperbolic curve gracefully approaches both the x and y axes without ever touching them, demonstrating the concept of asymptotes crucial to understanding rational functions. The grid lines help in visualizing the behavior of the reciprocal function across its domain, highlighting its two distinct branches.

graph - math - function - hyperbola - reciprocal - coordinates - asymptote