(Free to use. May not be sold) Year 12 - General Hyperbolic Functions Press ‘Ctrl-A’ © G Dear 2009 (Free to use. May not be sold) 1

Hyperbolic Functions (1/4) The independent variable has a power of -1. The dependent variable has a power of 1. a y = ax-1 1 y = x When graphed they appear as a hyperbolic graph. 2

Hyperbolic Function y = 1/x (2/4) ¼ ½ 1 2 y ? 4 2 1 ½ 5 4 3 2 1 x y y=1/x ¼ ½ 3

Hyperbolic Function y = 4/x (3/4) ¼ ½ 1 2 y ? 16 8 4 2 y 20 16 12 8 4 ½ 1 x 2 ¼ y=4/x 4

Hyperbolic Function y = -1/x (4/4) ¼ ½ 1 2 y ? -4 -2 -1 -½ y 1 -1 -2 -3 ½ x 2 ¼ -4 y=-1/x 5