How to Find Domain and Range of a Function in GeoGebra

You can use GeoGebra to find the domain and range of a function.

GeoGebra Instruction 1

1.

Open Algebra View and Graphics View under

View in

Menu.

2.

Input your function into Algebra View.

3.

Now you’re going to find the domain. Select the Intersect

tool. Click your function, then the

x

-axis. Depending on what’s given in the exercise, choose the appropriate lower and upper endpoints of the domain from the intersections with the

x

-axis.

4.

Now for the range, use the Min command by typing

Min(<Function>, <Start x-Value>, <End x-Value>)

in Algebra View.

Enter the name of your function ( $f$ , $g$ , $\dots$ ) 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 $y$ -value of the lowest point on the graph within the domain.

The upper endpoint of the range is the $y$ -value of the highest point on the graph within the domain.

Screenshot of GeoGebra showing a graph, highlighting the domain and range

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