Help your students take the next step in understanding rational functions with this short, focused lesson on writing equations from graphs. Students will learn how to read key features from a graph โ including x-intercepts, vertical asymptotes (infinite discontinuities), holes, and horizontal asymptotes โ and use that information to construct the full equation of a rational function. This lesson includes two clear examples: A rational function with two vertical asymptotes and a hole. A linear rational function (a straight line with a hole). Each step is broken down visually and conceptually, helping students connect graph behavior to algebraic structure. Use this lesson for direct instruction, guided practice, or as a quick review before students move on to analyzing or graphing rational functions on their own.
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