# IBDP Maths Applications and Interpretation: IB Style Question Bank SL Paper-1

### Topic 2: Functions– SL content

• Topic: SL 2.1
• Topic: SL 2.2
• Topic: SL 2.3
• Topic: SL 2.4
• Topic: SL 2.5
• Topic: SL 2.5
• Composite functions.
• (f ∘ g)(x) = f(g(x))
• Identity function.
• Finding the inverse function f−1(x)
• (f ∘ f−1)(x) = (f−1∘ f)(x) = x
• Topic: SL 2.6
• Modelling skills:
• Use the modelling process described in the “mathematical modelling” section to create, fit and use the theoretical models in section SL2.5 and their graphs.
• Develop and fit the model:
• Given a context recognize and choose an appropriate model and possible parameters.
• Determine a reasonable domain for a model.
• Find the parameters of a model.
• Test and reflect upon the model:
• Comment on the appropriateness and reasonableness of a model.
• Justify the choice of a particular model, based on the shape of the data, properties of the curve and/or on the context of the situation.
• Use the model:
• Reading, interpreting and making predictions based on the model
• Topic: SL 2.7
• The discriminant $$\Delta = {b^2} – 4ac$$ and the nature of the roots, that is, two distinct real roots, two equal real roots, no real roots.
• The rational function $$x \mapsto \frac{{ax + b}}{{cx + d}}$$ and its graph. Equations of vertical and horizontal asymptotes.