Calculus › Section A · Preparing for calculus › Topic A.3
Functions and their graphs
Calculus is the study of functions: what they accept, what they produce, and how their graphs behave. This topic gathers the vocabulary and the visual toolkit everything else stands on.
In this topic
- A function is a reliable machine
- Domain and range
- Worked example: finding a domain
- The graph and the vertical line test
- A library of basic graphs
- Transformations: shifts and reflections
- Worked example: a transformed square root
- Combining functions
- Worked example: order matters in composition
- Even and odd functions
- Common mistakes to avoid
- Key takeaways
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Standards: Prerequisite