Exam 2 Matt Oates

Exam 2 Matt Oates

1. Chapter 3

   • 3.3
     • F(x) =a^x for )<a<1 Moving towards x-axis
     • f(x) =a^ a.1 left to the right moving away from axis
   • 3.4
     • formal F(x) = Ca^x and getting ordered pairs
       • example
         • If you were giving 2 and 4 it is y=1/3(6)^x
   • 3.2
     • Linear and exponential
       • Multiply = exponential
       • Decreasing = linear
       • Half life =Exponential
   • 3.1
     • Compound Continuosly
       • A=Pe^rt
     • Compounding interest
       • A=P(1+r/m)^nt
         • A+ amount in account
         • R+ Annual interest rate
         • P= initial value
         • N=Number of times of interest in one year
         • T+ time in years
   • Toolkit A.3 and A.4
     • Raise power, multiply exponents
     • To multiply two powerss of same add the exponents
       • 2^3+2^6=2^9
     • To divide two powers of same number, subtract them
       • 2^5/2^2=2^3

2. Chapter 4

   • 4.1
     • Logarithmic Form
       • log8^8=1
       • Log Base9 (729)=3 exponentially = 9^3
       • Change of Base formula. Log base(b) x=log base(a) x/log base (a)
     • Exponential Form
       • 8^2/3=4
     • Change of Base Fromula
       • logb^x=Loga^x/loga^b
   • 4.2
     • Fundamentals
       • log base (b) (mn) = log base (b) (m) + log base (B) (n)
       • Log base (b) (m/n) =logbase (b)(m) - log base (b)(n)
       • log base (b) (m^n) = n^ log base (b) (n)
   • 4.3
     • Logarithmic Scales
     • The PH Scale
     • The Decibel Scale
     • The Richter Scale
   • 4.4
     • Graphing Exponential Functions
   • 4.5
     • Convert exponents to logs
     • Get exponents to same side
     • Split command exponents