Rational Functions: How to Sketch Graphs | IB Maths AA HL

Learn how to sketch rational functions for IB Mathematics AA HL using roots, asymptotes and curve shapes. This visual overview explains how the numerator and denominator help you predict the graph of a rational function. We explore: • Vertical asymptotes from denominator roots • Zero crossings from numerator roots • Horizontal and oblique asymptotes • How polynomial degrees affect graph behaviour • Linear-over-linear, linear-over-quadratic and quadratic-over-linear functions • How quadratic coefficients and root positions determine cup and cap shapes • Using test points to place curves relative to an oblique asymptote Bring these ideas together into a structured approach to rational function graph sketching, useful for reviewing the Functions topic in IB Maths Analysis and Approaches Higher Level. Whether you’re revising for IB Maths AA HL or trying to understand rational graphs more clearly, this overview connects the algebra to the shape you draw. Explore ezeemath: https://ezeemath.com Subscribe to ezeemath for clear mathematics explanations, and leave a comment with the rational function you’d like explained next. #IBMaths #MathsAAHL #RationalFunctions