B.2 Advanced ModellingHL
HL extensions of Functions. Composing functions and restricting domains for invertibility. Function transformations (translations, reflections, stretches) and their effects on graphs. Extended modelling families — half-life, logarithmic, logistic growth, piecewise-defined. Logarithmic scaling and linearization for fitting exponential and power relationships.
Composite and inverse functionsHLSign up
(f ∘ g)(x) · Domain restrictions for invertibility
Graph transformations — translations, reflections, stretchesHLSign up
y = f(x − h) + k · y = af(bx) and reflections
Extended models — half-life, logarithmic, logistic, piecewiseHLSign up
Exponential decay and half-life · Logistic growth · Piecewise definitions
Logarithmic scaling and linearizationHLSign up
Linearizing y = a·bˣ via log y · Linearizing y = a·xⁿ via log–log