From the IB

 From the IB:IB DP A&A SL Topic 2: FunctionsIB Essential understandings:Models are depictions of real-life events using expressions, equations or graphs while a function is defined as a relation or expression involving one or more variable. Creating different representations of functions to model the relationships between variables, visually and symbolically as graphs, equations and/or tables represents different ways to communicate mathematical ideas.Content-specific conceptual understandings:• Different representations of functions, symbolically and visually as graphs, equations and tablesprovide different ways to communicate mathematical relationships.• The parameters in a function or equation may correspond to notable geometrical features of a graphand can represent physical quantities in spatial dimensions.• Moving between different forms to represent functions allows for deeper understanding and providesdifferent approaches to problem solving.• Our spatial frame of reference affects the visible part of a function and by changing this “window” canshow more or less of the function to best suit our needs.• Changing the parameters of a trigonometric function changes the position, orientation and shape ofthe corresponding graph.• Different representations facilitate modelling and interpretation of physical, social, economic andmathematical phenomena, which support solving real-life problems.• Technology plays a key role in allowing humans to represent the real world as a model and to quantifythe appropriateness of the model.Syllabus: