IB Maths AA HL Sl 2 3 Graphing Functions Questions

Practise sketching transformed and composite graphs with asymptotes, intersections and tangents, using domain restrictions to justify each graph feature.

Exam points

Sketch and interpret graphs of functions, including intercepts, asymptotes and transformations.
Use graph features to solve equations or inequalities with complete mark-scheme evidence.

[Maximum number: 1]

The following question explores features of a family of curves. The family is then linked to a homogeneous differential equation.
Consider the curve given by $y=\frac{x\left(x^{2}-16\right)}{x^{2}+16}$ .

Sketch the curve of y for $-10 \leq x \leq 10$ .

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IB Maths AA HL Sl 2 3 Graphing Functions Questions question 1