Standard x-intercept of a Fraction Function Graph

This GeoGebra example demonstrates how to construct the graph of a fractional (rational) function and precisely mark its x-intercept (root). The core mathematical concepts include fractional functions, function graphing, roots (zeros), arithmetic mean, median line, and subtraction operations applied in geometric construction. Key construction steps: the Line command is used to draw auxiliary lines, the Element command extracts items from lists or sequences, and objects such as s1, s3, s2, text1, A, B, g, lp, a2, a33, a3, a1, f, text2, ans, and text3 are combined to build the function graph and compute or annotate the x-intercept. This is suitable for middle or high school students learning function graphs and roots, and also serves as a teaching tool for exploring properties of fractional functions and the integration of geometry and algebra.