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9 Cards in this Set
- Front
- Back
vertical line test
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the way to determine whether a graph is a function. it is a function if the line passes through only one point.
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function
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for each x there is one y
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domain/range
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domain - allowable x values (input)
range - allowable y values (output) |
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even function
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f(x) = f(-x)
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odd function
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(think y=x3)
f(-x) = -f(x) |
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Vertical and Horizontal shifts...
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f(x)+/-c -> graph moves up/down c units
f(x +/- c) -> graph moved left/right c units |
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absolute vlue transformation
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after moving graphs appropriate units nad direction, have to move anything below x axis above axia
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reflection
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-f(x) -> flips graph around x-axis
f(-x) -> flips graph around y-axis |
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Stretches and Compressions
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cf(x) -> stretches vertically by factor of c
1/c(f(x)) -> compresses v. by c f(cx) -> compresses horizontally by c f(1/c x)) -> stretches H. by c |