Analysis of Functions. The factors of decreasing and decreasing intervals (in the y axis) in a polynomial function depend on the turning points of the function.

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Davy College

Analysis of Functions

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GERALD Veliz

14/10/2011

Analyzing Different Functions

Polynomial Functions:

These are functions with x as an input variable, made up of several terms, each term is made up of two factors, the first being a real number coefficient, and the second being x raised to some non-negative integer exponent.

The domain of any polynomial functions are the real numbers set, R. These are some examples with different degrees:

* f(x) = x²

* f(x) = x3

The factors of decreasing and decreasing intervals (in the y axis) in a polynomial function depend on the turning points of the function. The values of y can first be increasing but suddenly caused by the turning point, the values start to decrease. For example the values of y increase on the open intervals (? < x < a) but then when b < x < ? the intervals start decreasing.

Even polynomial functions have f(x) = f(-x) and odd polynomial functions occur when f(-x)= -f(x)Polynomial functions can be even, odd or neither, as shown with the following examples: