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Nonlinear Functions - UH

Nonlinear Functions By definition, Nonlinear Functions are Functions which are not linear. Quadratic Functions are one type of Nonlinear function. We discuss several other Nonlinear Functions in this section. A. Absolute Value Recall that the absolute value of a real number x is defined as if 0if x<0xxxx = Consequently, the graph of the function ()fxx= is made up of two different pieces. For x > 0, the graph is the graph of the linear function x, and for x < 0, the graph is the graph of the linear function x.

1. fx() 1= is a polynomial of degree 0. 2. 14 23 Hx x=− is a polynomial of degree 1. 3. 2 3 3 11 R xx x=− + is a polynomial of degree 2. 4. 72 4 3 3 3 Fx x x x=− − + is a polynomial of degree 7. The graphs of polynomial functions can sometimes be very complicated. For example the graph of …

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