IB Maths AA HL 2.3 Graphing functions and transformations Question Bank

Practise IB Maths AA HL 2.3 by analysing transformed and composite graphs with asymptotes, intersections and tangents.

Exam points

Construct a precise sketch using intercepts, asymptotes, turning points and domain restrictions.
Analyse a composite or transformed function and justify the resulting graph features.
Use tangent, intersection and asymptotic evidence to evaluate a graph-based conclusion.

[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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SL 2.3—Graphing functions question 1