Quadratic functions and Piecewise functions

1. Definitions

1.1. A quadratic function is one of the the f(x)=ax^2+bx+c, where a, b, and c are numbers with a not equal tozero

1.2. Piece wise function is a function which is defined by multiple sub-functions, each sub-function applying to certain interval of the main functions domain

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3. Different names

3.1. Quadratic Functions: Parabola

3.2. Piece wise function: Hybrid

4. how to solve

4.1. Quadratic function: ax^2+bx+c=0

4.2. Piecewise function: f(x)