Polynomials

Polynomials

1. Degrees

   • Degree 1
     • P(x) = Mx + b
       • Linear function
   • Degree 2
     • P(x) = ax^2 + bx + c
       • Quadratic function
   • Degree 3
     • P(x) = ax^3 + bx^2 + cx + d
       • Cubic fuction

2. Power Functions

   • f(x) = x^a
     • a is constant
   • iii
     • a = -1
       • f(x) = x^-1 = 1/x
         • Reciprocal function
           • Is a hiperbola with the coordinate ares as it's asymptotes
   • i
     • a = n
       • n is positive
     • If is even the graph will be similar to a parabola (y = x^2)
     • If is odd the graph will be similar to y = x^3
   • ii
     • n = 3
       • f(x) = 3√x
     • n = 2
       • f(x) = √n
         • The graph is the upper part of the parabola x = y^2
     • Root function
     • a = 1/n
       • n is positive

3. Rational Function

   • • The Domain (x l x ≠ ± 2 )
   • f is a ratio of 2 polynomials
     • • The domain consiste of all valúes of x

4. Function P

   • n is a non negative integre
   • The number a0, a1,.... are coefficients
   • The dominan is always R

5. Algebraic Function

   • The graphs can assume different shapes
   • If it can be constructed in algebraic operations

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