Lesson 3 of 15Article18 min
Ch 2 — Relations and Functions
Cartesian product A × B is the set of ordered pairs. A relation is any subset of A × B. A function assigns exactly one output to each input in the domain.
01From pairs to machines
Cartesian product A × B is the set of ordered pairs. A relation is any subset of A × B. A function assigns exactly one output to each input in the domain.
- Domain restrictions: denominators ≠ 0, even roots ≥ 0, log arguments > 0.
- Know modulus, signum, greatest-integer, and standard real functions from NCERT.
- Vertical line test: a graph is a function if no vertical line hits it twice.