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Unformatted text preview: 2.1 Periodic Functions and Symmetry
Tuesday, September 13, 2011
7:38 AM Agenda:
1. Whiteboard Warmup
2. Lesson: 2.1 Periodic Functions and Symmetry
_________________________
Whiteboard Warmup
Evaluate. Round to 4 decimal places.
Find the measure of the angle ,
, rounded to the
nearest degree. _________________________
Lesson: 2.1 Periodic Functions and Symmetry
Goal: Identify Periodic Functions and determine Odd or Even Functions
DOD
Periodic Function: Function where there exists a smallest positive number such that: =period, and one cycle of the graph is completed every period.
Examples
Function?
Periodic?
If periodic, what is the period? Ch_2 Page 1 Function?
Periodic?
If periodic, what is the period? DOD Part 2
Odd Function Even Function Visually, it has Origin Symmetry (for every
point
, then the point
) Visually, it has yaxis Symmetry (For every
point
, then the point
)
Example Example: xaxis symmetry: For every point _________________________
Examples
Is the function odd, even, or neither?
Ch_2 Page 2 , then the point . _________________________
Examples
Is the function odd, even, or neither? Ch_2 Page 3 ...
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 Spring '11
 byrns
 Math, Calculus, Fourier Series, Elementary mathematics, Even and odd functions

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