One-to-One Functions and Implied Domains (VCE SSCE Mathematical Methods): Flashcards

Different $x$-values always produce different $y$-values

$f(a) \neq f(b)$

If horizontal line intersects graph at most once, it's 1-to-1

Checks if a function is one-to-one

Checks if a relation is a function

All real numbers for which function rule makes sense

Expression under root must be $\geq 0$

Denominator cannot equal zero

$\mathbb{R}$ (all real numbers)

Not one-to-one (horizontal line crosses twice)