2413 1.2/1.3 Limits Exploration

Exploring Limits

Copy the graph of the piecewise-defined function f(x) in your notebook and respond to these prompts.

[list=1][*]Write the formulas for the red and blue functions.[/*][*](Approximate) What is f(5)? f(10)? f(8)?[/*][*]What does y get close to as x gets close to 8, coming from the left?[/*][*]What about from the right?[/*][*]Best guess: What is the limit of f(x) as x approaches 8?[/*][/list]

Click "Next", make another quick sketch, and respond to these prompts with the new function, g(x).

[list=1][*]Write the formulas for the red and blue functions.[/*][*](Approximate) What is g(2)? g(10)? g(8)?[/*][*]What does y get close to as x gets close to 8, coming from the left?[/*][*]What about from the right?[/*][*]Best guess: What is the limit of g(x) as x approaches 8?[/*][/list]

Information: 2413 1.2/1.3 Limits Exploration