You can use GeoGebra
to find the domain and range of a function.
GeoGebra
Instruction 1
Algebra View
and Graphics View
under View
in Menu
. Algebra View
. Intersect
tool. Click your function, then the -axis. Depending on what’s given in the exercise, choose the appropriate lower and upper endpoints of the domain from the intersections with the -axis. Min
command by typing Min(<Function>, <Start x-Value>, <End x-Value>)
in Algebra View
.
Enter the name of your function (, , ) in <Function>
. For <Start>
, enter the lower endpoint of the domain. For <End>
, enter the upper endpoint of the domain.
Do the same as above with the command
Max(<Function>, <Start x-Value>, <End x-Value>)
in Algebra View
.
If your domain is a union of several intervals, repeat these two commands for all the intervals.
The lower endpoint of the range is the -value of the lowest point on the graph within the domain.
The upper endpoint of the range is the -value of the highest point on the graph within the domain.