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

Function where variable appears in denominator

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

Hyperbola

Cannot divide by zero

Two branches in opposite quadrants

Lines the curve approaches but never touches

$y = 0$ (the $x$-axis)

$x = 0$ (the $y$-axis)

As $x$ increases, $y$ decreases (or vice versa)

Asymptotes at right angles to each other