MYP 5Year 11Term 1–2
11.3 Functions
Definition of function & relation · Domain, range, vertical line test · Function notation · [EXT] Inverse and composite functions · [EXT] Absolute-value and step functions
Functions
8 objectives
Learning objectives
What students should be able to do by the end of this unit.
Functions
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- Understand the definition of a function and a relation; use domain and range.
- Apply the vertical line test to determine whether a relation is a function.
- Use function notation: evaluate $f(a)$, solve $f(x) = k$, and interpret in context.
- Find the largest natural domain of a real-valued function involving fractions and square roots.
- Determine inverse functions both algebraically and graphically.EXT
- Use composite functions with $f \circ g$ notation; find the domain of a composition.EXT
- Recognise and sketch absolute-value and step functions.EXT
- Explore Euler's number $e$ and the function $e^x$.ENR
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