This IB Maths AI SL 2.4 resource introduces the key features of graphs, including intercepts, turning points, endpoints, asymptotes, and intersections, and is fully aligned with the IB Applications and Interpretation SL syllabus.

Students learn how to identify and interpret important features of a graph, including maximum points, minimum points, x-intercepts, y-intercepts, endpoints, and asymptotes. The notes explain what each feature tells us about the behaviour of a function and how these features should be labelled clearly when sketching or drawing graphs.

The resource develops the connection between x-intercepts and zeroes of a function. Students learn that x-intercepts can be found algebraically by solving (f(x)=0), and graphically by identifying where the curve crosses the x-axis.

The notes also reinforce the difference between drawing and sketching in IB Maths AI. Students learn that a drawing should be accurate and drawn to scale, while a sketch should show the general shape and all relevant features, including intercepts, asymptotes, endpoints, and turning points.

Technology is introduced as a tool for locating key features accurately. Students are guided to use graph-analysis commands to find zeroes, minimum points, maximum points, and intersections between graphs, then record coordinate pairs with sensible rounding.

Structured practice asks students to sketch and compare (f(x)=4x^{-2}-1) and (g(x)=x^2), discuss the key features of a rational graph, and use technology to determine points of intersection. This helps students combine graphical interpretation, algebraic reasoning, and calculator skills in one focused lesson.

Ideal for IB Maths AI SL teachers teaching key graph features, intercepts and zeroes, drawing vs sketching, asymptotes, domain and range, and technology-based graph analysis.

This pairs great with our slidedeck!