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 GeoGebra Graphing Calculator. 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.
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| 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. |
| |  | Note: 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. |