IB Math AI SL 2.3 – Graphing Functions
This printable and editable worksheet gives students structured practice in graphing a variety of functions and interpreting their features. Beginning with simple data tables, students learn to identify function types from patterns, such as linear, quadratic, absolute value, and radical, and to explain the reasoning behind each graph’s shape.
Through step-by-step exercises, students graph linear, quadratic, exponential, and rational functions using suitable domains and calculate key characteristics such as intercepts, vertices, and points of intersection. The final sections introduce composite and combined functions, where learners sketch h(x) = f(g(x)) and interpret how adding or subtracting functions affects their graphs.
Aligned with the IB Math AI SL Topic 2.3 syllabus, this worksheet is ideal for classroom instruction, homework, or revision, strengthening students’ ability to connect algebraic rules to visual representations and analyze relationships between multiple functions.
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