Function types

Function types

1. Polynomials

   • p(x)=a0+a1x+a2x^2+a3x^3+...+anx^n
     • an≠0

2. Rational functions

   • r(x)=f(x)/p(x)

3. Algebraic

   • a(x)=√x+4x^7
   • A finite number of algebraic operations

4. Transcendental

   • a^x
     • e^x
       • sinx
         • ln(1+x)
   • An infinite number of operations
   • f(x)= {

5. Hyperbolic

   • cosh(x) = 1/2[e^x+e^(-x)]
   • sinh(x) = 1/2[e^x-e^(-x)]
     • Solutions of: d2y/dx2=y