Algebra › Section C · Graphs and functions › Topic C.6
Graphs of functions, domain, and range
A graph is a function's portrait: every value, trend and limitation visible at once. This topic builds the two questions you ask of every graph — what goes in, and what comes out — and the skill of reading behaviour off the curve.
In this topic
- A graph is a record of behaviour
- The vertical line test
- The basic function families
- Domain: the allowed inputs
- Range: the outputs produced
- Domain and range from a graph
- Worked example: reading a described graph
- Values, zeros and behaviour
- The difference quotient
- Worked example: a parking garage's function
- Common mistakes to avoid
- Key takeaways
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