Mathematics - Functions - Exponential - Exponential growth and decay - Exponential Functions

8 steps: (1) Form: y = a·bˣ. a=initial value, b=growth/decay factor, x=time. (2) GROWTH: b>1. Example: bacteria doubles every hour. y=100·2ˣ. After 0h: 100, 1h: 200, 2h: 400, 3h: 800. (3) DECAY: 0<b<1. Example: medicine halves every 4 hours. y=500·(0.5)ˣ. (4) Growth RATE: if growing 15% per year, b=