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Even and Odd Functions
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GraphicallyA function is even if
A function is odd if
The graph reflects across the yaxis
The graph has 180° rotational symmetry about the ORIGIN
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Ex. 3 Even, Odd or Neither?Graphically
1
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Ex. 4 Even, Odd or Neither?Graphically
2
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EVEN ODD
Ex. 3 Ex. 4
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AlgebraicallyA function is even if f(x) = f(x).
A function is odd if f(x) = f(x).
All of the exponents of the variable are even.
All of the exponents of the variable are odd.
A function is neither if it is not odd or even! The exponents
are a mixture of odd & even
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BEWARE OF CONSTANTS
All constants really have x0
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x0 is EVEN!!
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Even, Odd or Neither?Ex. 1Algebraically
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Even, Odd or Neither?Algebraically
Ex. 2
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Even, Odd or Neither?
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If the dots shown are part of an odd function, what points are
also on the function?
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Even, Odd or Neither?
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Even, Odd or Neither?
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If the dots shown are part of an even function, what points are
also on the function?
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HWPractice WS
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