Comparing Piece-wise and Quadratic Functions

1. Piece-wise Functions

2. Definition~A function that is defined as multiple sub functions

3. Example:when x is less than 2, it gives x2, when x is exactly 2 it gives 6 when x is more than 2 and less than or equal to 6 it gives the line 10-x

4. hi

5. They both include graphs

6. SOURCES:https://www.mathsisfun.com/sets/functions-piecewise.html https://www.mathsisfun.com/algebra/quadratic-equation.html

7. Things that they have in common

8. Quadratic Funtions

9. Definition~one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero

10. Example: 2x2 + 5x + 3 = 0 In this one a=2, b=5 and c=3 x2 − 3x = 0 This one is a little more tricky: Where is a? Well a=1, and we don't usually write "1x2" b = -3 And where is c? Well c=0, so is not shown. 5x − 3 =

11. 5x^2+ 3x +3

12. Graph

13. They are both functions