Plotting Points on the Rational Function y=1/x

This GeoGebra example dynamically demonstrates the graph of the rational function y=1/x and allows users to plot points on the curve, visually exploring how the function changes with the independent variable. The core mathematical concept is the rational function (inverse proportion), including its domain, range, asymptotes, and the characteristic that function values decrease as x increases. Construction highlights: the Corner command is used to obtain the coordinate range of the graphics view, the If conditional statement controls point visibility and placement, sliders (a, b, incr) adjust parameters, a button (button1) triggers actions, and text objects (text1, text2) display coordinate information. This example is suitable for middle school to high school students learning function graphs and coordinate geometry, and also serves as a classroom demonstration tool for teachers to illustrate the graph of y=1/x and the correspondence between points and coordinates.