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

2. Cubic Functions (1/5) The independent variable has a power of 3. The independent variable has a power of 3. y = ax 3 1 When graphed they appear as a cubic graph. When graphed they appear as a cubic graph. The dependent variable has a power of 1. The dependent variable has a power of 1. 2

3. 100 80 60 40 20 123 x y 4 Cubic Function y = x 3 (2/5) x01234 y 0186427 3 y=x 3

4. 100 80 60 40 20 123 x y 4 Cubic Function y = 2x 3 (3/5) x01234 y 021612854 4 y=x 3 y=2x 3

5. 100 80 60 40 20 123 x y 4 Cubic Function y = ½x 3 (4/5) x01234 y 0 ½ 4 3213½ 5 y=x 3 y=2x 3 y=½x 3

6. -100 -80 -60 -40 -20 12 x4 3 y Cubic Function y = -x 3 (4/5) x01234 y 0-8-64-27 6 y=-x 3