A function and its graph

• Resources structure
• Years 14-16
• Mathematics
• XV. Graphs of different functions
• 86. A function and its graph

• International Curriculum
• Years 16-19
• Mathematics - standard level
• Topic 2: Functions and equations
• 2.1 Concept of function: domain, range; image (value). Composite functions; identity function. Inverse function.
• 2.2 The graph of a function; its equation y = f(x) . Function graphing skills: use of a GDC to graph a variety of functions; investigation of key features of graphs. Solution of equations graphically.
• Mathematical Studies - standard level
• Topic 4: Functions
• 4.1 Concept of a function as a mapping. Domain and range. Mapping diagrams.
• Mathematics - higher level
• Core
• Topic 2: Functions and equations
• 2.1 Concept of function f: x → f(x): domain, range; image (value) Composite functions f ◦ g; identity function Inverse function f^(-1)
• 2.2 The graph of a function; its equation y = f(x) Function graphing skills: use of a GDC to graph a variety of functions, investigation of key features of graphs, solutions of equations graphically

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