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

2. Green = Similarities

3. Purple= Piecewise

4. Red = Quadratic

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

6. 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.

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

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

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