Building Functions with Inverses
Interact with this app for a few minutes. LARGE POINTS are moveable. Then answer the questions that follow.
What do you notice? What do you wonder?
What does it mean for a relation to be a function? Describe. Make sure to use the terms "input" and "output" in your description.
In the app above, reposition the 3 LARGE POINTS of the function so that the graph of the inverse relation also becomes a function.
Explain what you did to the original function to cause the graph of the inverse relation to be a function.
Use this app to help you answer the questions that follow.
In the app above, reposition the 3 LARGE POINTS of the function so that the graph of the inverse relation is not a function.
Explain what you did to the original function to cause the graph of the inverse relation to not be a function.
Click on the TEST INVERSE checkbox. Drag the point that appears. How does this help illustrate the graph of the inverse relation is not a function? Explain. (In your explanation, avoid using the phrase "vertical line test". Rather, describe using the terms "input" and "output".)