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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