Clicker Question #1:

Clicker Question #2:

A2 -B2=(A-B)(A+B)Class 12-1Thursday, February 16, 2017 11:00 AM

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Class 12-2Thursday, February 16, 2017 11:17 AM

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Class 12-3Thursday, February 16, 2017 11:25 AM

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Continuity

Polynomials, rational function, square roots are continuous in their domain.

Class 12-4Thursday, February 16, 2017 11:34 AM

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A function is continuous on an open interval (a,b), if it is continuous at every point of (a,b).

Informally being continuous on an interval is equivalent to having no breaks or holes in the graph.

Class 12-5Thursday, February 16, 2017 11:41 AM

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Example of a function where the discontinuity is due to non-existence of the limit

Class 12-6Thursday, February 16, 2017 11:47 AM

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Class 12-7Thursday, February 16, 2017 11:58 AM

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Example of a function discontinuous at every point:

Section 2.1: Derivative

Average Rate of Change:

Average rate of change of f(x) between x1 and x2 is

.

Class 12-8Thursday, February 16, 2017 12:01 PM

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Class 12-9Thursday, February 16, 2017 12:09 PM

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