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Published byMyra Miller Modified over 8 years ago
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Warm-Up
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FUNCTIONSFUNCTIONS Symmetric about the y axis Symmetric about the origin
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2-7-6-5-4-3-21573 0468 7 1 2 3 4 5 6 8 -2 -3 -4 -5 -6 -7 For an even function: for every point (x, y) on the graph, the point (-x, y) is also on the graph. Even functions have y-axis Symmetry
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2-7-6-5-4-3-21573 0468 7 1 2 3 4 5 6 8 -2 -3 -4 -5 -6 -7 For an odd function: for every point (x, y) on the graph, the point (-x, -y) is also on the graph. Odd functions have origin Symmetry
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2-7-6-5-4-3-21573 0468 7 1 2 3 4 5 6 8 -2 -3 -4 -5 -6 -7 We wouldn’t talk about a function with x-axis symmetry because it wouldn’t BE a function. x-axis Symmetry
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Even, Odd or Neither? Graphically
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Even, Odd or Neither? Graphically
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Even, Odd or Neither? Graphically
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Even, Odd or Neither? Graphically
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If you plug a –x into the function and you get the original function back again, the function is even. Same! Even Function
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If you plug a –x into the function and you get the negative of the function back (all terms change signs), the function is odd. Odd Function ALL signs of the terms changed!
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If you plug a –x into the function and you get the original function back again, the function is even. Is this function even? YES Is this function even? NO
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If you plug a –x into the function and you get the negative of the function back (all terms change signs), the function is odd. Is this function odd? NO Is this function odd? YES
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Odd, Even, or Neither? Even Function
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Odd, Even, or Neither? Neither Odd or Even
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Odd, Even, or Neither? Odd Function
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