Characteristics of Functions (HSC SSCE Mathematics Advanced): Flashcards

Allowable input values ($x$-values) where function is defined

Possible output values ($y$-values) function can produce

Cannot equal zero

Radicand must be non-negative ($geq 0$)

Point where $f(x) = 0$ in the domain

Where curve crosses $x$-axis ($y = 0$), same as zero of function

Where curve crosses $y$-axis ($x = 0$), found by $f(0)$

Set $x = 0$ and evaluate function

Set $f(x) = 0$ and solve for $x$

Point where a curve crosses an axis in coordinate plane