Reciprocal Functions and Models (HSC SSCE Mathematics Standard): Flashcards

Function where variable appears in denominator

$y = \frac{k}{x}$ where $k$ is a constant

Hyperbola

Cannot divide by zero

Two branches

Lines the curve approaches but never touches

$x = 0$ and $y = 0$

Rectangular hyperbola

Inverse: as $x$ increases, $y$ decreases (or vice versa)

$y = \frac{k}{x}$ where variables are practical quantities