Domain and range

In the scene you can see the graphs of functions sqrt(x+s)+t for different values of s and t.
If you move the point P you will see the corrresponding values of x and f(x).
Don't forget to click on the Clear Button to erase the points in the axes.
Use these graphs to determine the domain and the range of the following functions:

sqrt(x)
sqrt(x+2)
sqrt(x)+2
sqrt(x+2)+2

Activity 3:
Is there any way of finding the domain of a function involving a square root without sketching the graph?
Use it to find the domain of the function sqrt(x+3)-1

	Functions
______________________________	Domain and range
The domain of a function f is the set of values to which f applies, i.e., if f(x) exists then x is in the domain of f. There are two main reasons for the resctriction of the domain of a function: There is a previous condition over the values that f can take, for example, when the function is only defined in a certain interval of time. The definition of the function involves an operation that's not possible for all the real numbers such as fractions, square roots, logarythms,.. The range of a function f is the set of values f(x).