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

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

Exponential Function y = 2x (2/4) 1 2 3 4 y 1 2 4 8 16 y 20 16 12 8 4 1 2 x 3 y=2x 3

Exponential Function y = -2x (3/4) 1 2 3 4 y -1 -2 -4 -8 -16 y 1 2 3 4 x -4 -8 -12 y=-2x -16 -20 4

Exponential Function y = 2-x (4/4) 1 2 3 4 y 1 2 1 4 1 8 1 16 1 y 1.0 0.8 0.6 0.4 y=2-x 0.2 1 2 3 4 x 5