piece-wise functions v.s quadratic functions

1. a QUADRATIC FUNCTION is one of the form f(x)=ax^2+bx+c, where a, b, and c are numbers with a not equal to zero.

1.1. formula:

2. the graph of a quadratic function is a curve called a parabola.

2.1. parabolas may open upwards or downwards and vary in width and steepness.

3. a PIECE-WISE FUNCTION is a function that is a combination of one or more functions.

3.1. the rule for a piece-wise function is different for different parts, or pieces, of the domain.

3.2. for instance, movie ticket prices are often different for different age groups. so different values for each domain interval.

4. A piece-wise-defined function is a function which is defined by multiple sub-functions.

4.1. each sub-function applying to a certain interval of the main function's domain.