Google Classroom
GeoGebraGeoGebra Classroom

Intersection of functions

Task

Create a linear function with sliders and intersect it with a quadratic function. Explore the construction and learn how to create a function with parameters and how to intersect two functions with Graphing in GeoGebra Calculator Suite. Then try it yourself by following the instructions below.

Explore the construction...

Instructions

1.Enter the linear function into the Input Bar. Sliders for variables a and b will be created automatically.
2.Enable the Visibility button next to the sliders to show them in the Graphics View.
3.Change the values of the sliders for a and b and explore how the graph of f(x) adapts to your changes.
4.Create a quadratic function by entering into the Input Bar.
5.Use the command to create the intersection points of f(x) and g(x). The intersection points A and B are displayed in the Graphics View, while the coordinates of the points are shown in the Algebra View.
Toolbar ImageNote: You may use the Intersect tool from the Tools View and select the two functions as well to create the intersection points.
6.Move the sliders for a and b and explore how the intersection points A and B adapt to your changes.
7.Select the graph of f(x) and g(x) and change the color of the function graphs using the Style Bar to enhance your construction.

Try it yourself...