GeoGebra
You can either use CAS, or Algebra View and Graphics View together, to find the points of intersection between graphs. Instructions for both methods are detailed below.
GeoGebra Instruction 1
Using CAS
- 1.
- Open
CASunderViewinMenu. - 2.
- Type in
CASasf(x) :=
and press
Enter. Do the same with . - 3.
- In an empty row in
CAS, typef = g
and click
Solvein
Toolbar. You should get a list of solutions. - 4.
- For each of the solutions
xin the list from Step 3, type(x,f(x))
in an empty row in
CASand pressEnter.GeoGebrathen displays the points of intersection.
GeoGebra Instruction 2
Using Algebra View and Graphics View
- 1.
- Open
Algebra ViewandGraphics ViewunderViewinMenu. - 2.
- Type into
Algebra Viewand pressEnter. Do the same with . These now appear as functions inAlgebra Viewand as graphs inGraphics View. - 3.
- In
Toolbar, clickIntersect(it is under the same menu as the
Pointtool).
- 4.
- Click both graphs. The order does not matter.
- 5.
- You will now find the points of intersection displayed in
Algebra View.
If you wish, you can additionally choose the axes to find the intersection between a graph and the axes.