Piecewise-Defined Functions
- Author:
- Esteban Isasi, Paige Eslick, Chris Mizell
- Topic:
- Functions
Lesson Objective: This interactive lesson to help students understand of piecewise-defined functions.
Vocabulary: piecewise functions
Definition: A piecewise function is a function that consists of two or more standard functions defined on different domains.
The following GeoGebra lab features several rational functions whose domains are defined by sliders.
- As you move each slider, constants and coefficients in the functions are changed, and thus the graphs of each function move to satisfy the new parameters.
Intervals: To denote the edges of the loops, we are using the same notation as for the intervals of the solutions of the inequalities, remember?
- An open circle indicates that the point is not included in the interval
- A closed circle indicates that the point is included in the interval
The difference is that now we not only talk about the point of the interval, we are including the point of the value of the function, his serves as an additional visual aid to reinforce the domain restrictions on each function.
Piecewise functions exercise.
Piecewise fuctions exercise
Use the following applet to practice your understanding of piecewise functions.
1) Solve at least 5 different piecewise function
2) Take pictures of each solution
3) Upload the solutions to the April 24 lesson
Exito