3.2B   Continuity

Continuity

To understand continuity, you have to understand limits.

 The previous lesson highlighted two ways to find the limit of a function:

           1.  Look at a graph.

           2. Estimate using a data table.

   These aren't the only processes used to find the limit of a function. 

   You will learn how to analytically and algebraically determine the limit of a function in your AP Calculus AB course, which will be a joy to experience!

We will now focus on Continuity.  Work through the slide presentation then complete the GrAssign.

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Important:  When a GrAssign, Quiz, or Test question asks you to determine if the function is continuous, you must always apply the following 3 tests to verify your answer.

If you omit these steps you will not receive credit for your response.

1.  Does the limit exist at x = a?

2.  Does f(x) exist at x = a?

3.  Does the limit of the function equal the value of the function at x = a?