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

2. 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

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

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

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