Exponents

Exponents

1. exponential expression

   • exponential notation

2. rules

   • rules

3. rational

4. exponential model f(x) =

   • rate of change f(x + 1) - f(x)
   • percentage rate of change r = a - 1 as % constant

5. natural exponential function f(x) = e

   • e = 2.781826182845904523536...
   • natural logarithm function f(x) = In (x) = log e (x)
     • logarithms
       • scale
         • multiplying fixed #
         • adding by fixed number
           • linear
       • laws
       • properties

6. compounding interest A = P ( 1 + r/n)

   • time investment made for in years
   • number if tunes utterest compounded in 1 year
   • r = annual interest as decimal
   • P = principal
   • A = amount in account

7. growth

   • a = growth factor
   • f (x) = ca
     • f(t) = Ce
       • r = instaneous growth or decay rate
       • t = time

8. decay

   • x = number of time periods
   • C = initial value
   • decay rate a + 1 + r
   • a = decay factor