Wednesday, 3 August 2011

Chapter 1.1 Power Function

Hello everyone. Here are some brief notes on the first subtopic of advanced function. I hope these notes will help you all. 
  • Power function is actually the simplest type of Polynomial Function.
  • It has the form of f(x) = ax^n, where,
                          x = variable
                          a = real number
                          n = whole number
  • The differences between odd degree and even degree of power function

y = x^n,  n = odd
y = x^n, n= even
Domain
x is the element of real number 
x  is the element of real number 
Range
y is the element of real number
y is the element of real number. y must be greater or equal to 0
Symmetry
Point
Line
End Behaviors
As x approaches infinity, y approaches - infinity,
As x approaches  - infinity, y approaches  - infinity.
As x approaches infinity, y approaches infinity,
As x approached - infinity, y approaches infinity. 

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