Algebra › Section H · Roots and radicals › Topic H.7
Radical functions
Put a root inside a function machine and almost nothing changes - you evaluate, graph, and find domains exactly as before. The one new question the machine asks: for even roots, is the radicand allowed at all?
In this topic
- A root inside the machine
- Evaluating an even-root function
- Odd roots never jam
- Domain: the even-index rule
- Worked example: a domain with a flipped inequality
- Worked example: domain in the other direction
- Worked example: a fraction inside the root
- The graph picture
- Common mistakes to avoid
- Key takeaways
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