Functions
______________________________	Even and odd functions
A function f(x) is an even function if f(x)=f(-x). The graph of an even function is symmetric with respect to the y-axis and if (x,f(x)) is in the graph then (-x,f(x)) is in the graph as well. A function f(x) is an odd function if f(x)=-f(-x). The graph of an odd function is symmetric with respect to the origin and if (x,f(x)) is in the graph then (-x,-f(x)) is in the graph as well.

Activity 4:
In the following scenes there is a point P(x,f(x)) for two different functions. If you move this point you will see two points:

• The point (-x,f(x)) in green.
• The point (-x,-f(x)) in blue.

Determine which of the functions is even and which one is odd.

Esta unidad interactiva requiere la máquina virtual de Java J2RE.

Esta unidad interactiva requiere la máquina virtual de Java J2RE.

Manuel Barreiro Abeijón

Ministerio de Educación, Cultura y Deporte. Año 2010

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