Chapter 3 and 4 Concept Map

Chapter 3 and 4 Concept Map

1. Section 3.1

   • F(x)=Ca^x C=initial value a=base x=# time

2. Section 3.2

   • Half life-->m(t)=c(1/2)^t/n
   • Compound interest-->A(t)=P(1+r/n)^nt

3. Section 3.3

   • Percent Rate Change --> r=a-1
   • Rate Change--> f(x+1)-f(x)

4. Section 3.4

   • Growth--> a>1
   • Decay--> 0<a<1

5. Section 4.1

   • Log bases --> LOGaX=y if and only if A^y=X
   • F(x)=logaX
   • Exponential decay Domain (-infinty,infinity) Range (o,infinity)
   • Log base is 10
   • Equations= Logarithmic: logaX=y if a^y=X

6. Section 4.2

   • logX+logY=logXY
   • logx-logy=logx/y
   • logx^c= Clogx
   • Change of base: logbX=logaX/logab

7. Section 4.3

   • pH=-log[h+]
   • Decibel-10log(I/1-^-12
   • M=log(I/S)

8. Section 4.4

   • ln=e
   • pe^rt is the equation to compound continuously