Class 12-1
Thursday, February 16, 2017
11:00 AM
A2 -B2=(A-B)(A+B)
Clicker Question #1:
Clicker Question #2:
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Class 12-2
Thursday, February 16, 2017
11:17 AM
Class 12 Page 2
Class 12-3
Thursday, February 16, 2017
11:25 AM
Class 12 Page 3
Class 12-4
Thursday, February 16, 2017
11:34 AM
Continuity
Polynomials, rational function, square roots are
continuous in their domain.
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Class 12-5
Thursday, February 16, 2017
11:41 AM
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.
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Class 12-6
Thursday, February 16, 2017
11:47 AM
Example of a function where the discontinuity is
due to non-existence of the limit
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Class 12-7
Thursday, February 16, 2017
11:58 AM
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Class 12-8
Thursday, February 16, 2017
12:01 PM
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
.
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Class 12-9
Thursday, February 16, 2017
12:09 PM
Class 12 Page 9