Concept Map 2

Concept Map 2

1. 3.1 Exponential Growth and Decay

   • Exponential
     • F(x)=Ca^(x)
       • C= initial a=growth rate ^x exponent
   • Linear
     • Y=mx+b

2. 3.2 Compound continuously

   • A=Pe^r(t)
   • APY (1+(r/n)^n(t)-1
   • Compounding interest A=P(1+(r/n))^(n x t)

3. 3.3 rate of change f(x+1) - f(x)

   • % rate of change r=a-1
   • Linear
   • exponential

4. 3.4 Growth & Decay

   • Growth y=2^x
   • Decay y=(1/2)^x

5. 4.1 logs

   • log(a)X=Y
   • exponential a^(y)=x
     • change of base loga(n)= logb^n/logb^a

6. 4.2 expand/express

   • logb(mn)=logb(m)+logb(n)
     • logb(m/n)=logb(m)-logb(n)
       • logb(m^n)=m*logb(m)
   • graphing logs
     • g(x)=log6(x)
       • (6,1)

7. 4.3 Richter Scale and decibel scale

   • Richter m=log(l/s)
   • decibel l(o)=10^(m)

8. 4.4 natural exponential function

   • (n(x)=log(e)x
     • e^(x) and Ln(x) are inverses
       • n1 log function f(x)_e^(x)

9. 4.5 logarthmic

   • compress to exponent
     • divide first
   • exponential convert to log
   • divide first, get exponent on the same side

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