Functions, domain, range and composite functions

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By the end you’ll be able to

Use function notation, including $f(x)$, $fg$-style mapping language where appropriate, and mapping diagrams or set-based descriptions.
Determine the domain and range of functions defined algebraically or graphically.
Evaluate functions for specified inputs and find the images of sets under a function.

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Determine the domain of a composite function by considering restrictions from each stage of the mapping.

Interpret functions in context and distinguish functions from non-functions where appropriate.

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