To explore rational functions on Desmos Calculator, start by entering a function such as y = (x^2 - 1)/(x - 2). The graph will display the curve, showing where the function grows, decreases, or approaches undefined points. You can analyze vertical asymptotes by identifying values of x that make the denominator zero, and horizontal or slant asymptotes by observing the behavior as x approaches infinity. You can also create sliders for coefficients to dynamically see how changes affect the curve, asymptotes, and intercepts.
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