Chapter 3.

Chapter 3.

1. 3.2

   • half life
     • .5=a
   • Compound interest
     • A=(1+r/n)^nt
   • compound continuously.
     • A=Pr^t

2. 3.3 Comparing linear and exponential growth.

   • Model: f(x)=(a)(b)^x
   • r=a-1
   • Linear vs. exponentital.
     • average rate of change: a linear model can fit the data exactly.
     • Percentage rate of change: there is an exponential model that fits the data exactly.

3. 3.4 graphs of exponential functions

   • f(x)=-4(0.5)^x.-----> decay flipped
   • f(x)=4(0.5)^x ------>decay
   • f(x)=-4(1.5)^x -------> growth flipped
     • f(x)=4(1.5)^x -----> Growth