﻿ Casyopee - piece wise function
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What they say:   I used Casyopée to help students solve optimisation problems. It allowed me to present students very open tasks. Students explored and found results that they had to prove afterward. Casyopée also helped students reuse basic strategies for solving.
What they say:   Casyopée is faster and more convenient than a calculator.... We have the geometric and algebraic side of the problem at the same time. It is easier to see how a function "reacts." It's useful and interesting.
What they say:   Casyopée makes it easy to calculate a derivative, to factor, to calculate zeros... and have a graph of the function next to it in the same window. It allows on a geometric problem to be able to establish variables that can then be used to study the problem by way of functions...
What they say:   Casyopee is a powerful application that can prove useful to both students and teachers It allows you to use various exploration and modeling tools, with the purpose of studying or teaching mathematical functions.
What they say:   Casyopee comes with lots of features. One of these features is the help provided for proving a function. There is also a feature for writing HTML reports that include the mathematical functions. Casyopee is guaranteed to improve the mathematical knowledge of its users.
What they say:   Besides the concept of number, the concept of function is the most important one in mathematics
What they say:   The notion of function is present in all scientific disciplines, and also in everyday life. Our experience as a teacher shows every day that it is a problem for many students. Situations with Casyopée can also be used outside of a technological environment and everyone will be able to reflect on her professional practice.

### Creating a piece wise function

A piece wise function is a function whose definition is given differently on disjoint subsets of its domain. In Casyopée, it is done by using two or more already defined functions, using the menu Create function PieceWise. A form opens with checkboxes for selecting functions.

Figure 60 – Function selection form for creating a piecewise function

Select the functions f, g and h and press OK.

A new function is created; checking at the bottom of the graphic tab one can see its curve.

Figure 61 – Graph of a piecewise function

Creation date : 08/12/2016 - 15h07
Category : - help
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