How to Find Intersection with the Axes in GeoGebra

You can either use CAS, or Algebra View and Graphics View together, to find where the graph of a function intersects the coordinate axes. The instructions for both methods are detailed below.

GeoGebra Instruction 1

Solution in `CAS`

1.: Open CAS under View in Menu.
2.: Type your function f(x):= $\dots$ and press Enter.
3.: To find the intersections with the $x$ -axis, type in f(x)=0 and click Solve to find the exact value, or Solve Numerically to find a numeric approximation. The intersections with the $x$ -axis are the same as the zeros of the function $f (x)$ .
4.: To find the intersection with the $y$ -axis, type f(0) and press Symbolic Evaluation to find the exact solution, or Numeric Evaluation to find a numeric approximation.

Screenshot of GeoGebra showing CAS being used to find intersection with axes

GeoGebra Instruction 2

Solution in `Graphics View`

1.: Open Algebra View and Graphics View under View in Menu.
2.: Type your function into Algebra View and press Enter.
3.: In Toolbar, select Intersect (it’s under the same toolbox as the Point tool).
4.: Click the graph, and then one of the axes. Repeat for the other axis. The order doesn’t matter.
The intersection points between the graph and the axes are displayed in Algebra View.

Screenshot of GeoGebra showing the intersection between a parabola and the coordinate axes

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Solution in CAS

Solution in Graphics View

Solution in `CAS`

Solution in `Graphics View`