Unit 10 Mind Map

Unit 10 Mind Map

1. Exponent Simplification

   • Exponent Rules
     • Power Rule
     • Quotient Rule
     • Zero Rule
     • Product Rules
     • Negative Exponents
     • One Rule
   • No Calculator Typically Needed
     • Become familiar with the cubed roots
   • Tips
     • For power rules, minimize exponents than enlarge
   • See Chart on 181
   • Fractional Exponents

2. Quizzes/Tests

   • Exponents and Interest

3. Exponential Growth and Decay

   • Compound Interest
   • Vocabulary
     • decay: negative growth
     • Compounding: Putting Money back into the Account
     • growth: amount is growing by constant percent rather than rate
   • Sample Problems (pp.184-185)
   • Amount of Money in the account at time (t)=initial amount(1+rate as a decimal)^length in time
   • The formulas you use are based on number of times the interest is compounded

4. Compounding Contnuously

   • Calculator Command: 2nd (ln)
   • Use of Pert
   • Likeliness between pi and e
   • Sample Problems (pp.189)

5. Inverse Functions

   • Video 10.8
   • Example in Notes

6. Logarithmic Functions

   • A logarithmic function is the inverse of an exponential function
   • Sample Walkthrough: pp. 192
   • Graphing
   • Algebraically
   • Difference between the form of a logarithmic functions and exponential functions

7. Properties of Logarithms

   • Multiplication Property
   • Division Property
   • Exponential Property
   • Change of Base Property