Quadratic Functions vs. Piece-wise Functions

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Quadratic Functions vs. Piece-wise Functions by Mind Map: Quadratic Functions vs. Piece-wise Functions

1. Green = Similarities

2. Purple= Piecewise

3. Both quadratic functions and piece-wise functions can be graphed

4. You can graph a quadratic function by plotting points with coordinates that make the equation true. Always plug in your numbers to make possible coordinates for your graphing.

5. The formula of a quadratic function is f(x) = ax2 + bx + c

6. Quadratic function: where a, b, and c are numbers with a not equal to zero.

7. Both quadratic and piece-wise functions can form a parabola

8. Red = Quadratic

9. A piecewise function is a function that is defined on a sequence of intervals. A common example is the absolute value, |x|={-x for x<0; 0 for x=0; x for x>0.

10. Piecewise functions are just what they are named: pieces of different functions all on one graph.

11. Piecewise functions can also be defined as multiple sub-functions, each sub-function applying to a certain interval of the main function's domain