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Published byAsher Nichols Modified over 8 years ago
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are said to be if and only if and At the same time
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TEST and
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are said to be if and only if and At the same time
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are said to be if and only if THEY ARE INVERSE FUNCTIONS and
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FOLD
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y = x
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(2, 0) FOLD OVER THE LINE
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(2, 0) (0, 2)
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(2, 0) (0, 2) (0,– 4) FOLD OVER THE LINE
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(2, 0) (0, 2) (0,– 4) (– 4, 0)
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(2, 0) (0, 2) (0,– 4) (– 4, 0) (6, 8) FOLD OVER THE LINE
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(2, 0) (0, 2) (0,– 4) (– 4, 0) (6, 8) (8, 6)
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(2, 0) (0, 2) (0,– 4) (– 4, 0) (6, 8) (8, 6) The x’s and y’s traded places
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(2, 0) (0, 2) (0,– 4) (– 4, 0) (6, 8) (8, 6) The x’s and y’s traded places
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(2, 0) (0, 2) (0,– 4) (– 4, 0) (6, 8) (8, 6) These points are called the INVERSES
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Inverse Functions Are Reflections over the Line y = x
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Given the relation: FIRST IT MUST BE A
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Given the relation:
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It must be
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Independent Variable Abscissa Dependent Variable Ordinate 1-5 3-3 4-2 xy
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xy Independent Variable Abscissa Dependent Variable Ordinate 1-5 3-3 4-2 The Dependent and Independent Variables Trade Places INVERSE FUNCTION
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Independent Variable Abscissa Dependent Variable Ordinate 1-5 3-3 4-2 Independent Variable Abscissa Dependent Variable Ordinate INVERSE FUNCTION xy
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Independent Variable Abscissa Dependent Variable Ordinate 1-5 3-3 4-2 Independent Variable Abscissa Dependent Variable Ordinate 1 INVERSE FUNCTION xy
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Independent Variable Abscissa Dependent Variable Ordinate 1-5 3-3 4-2 Independent Variable Abscissa Dependent Variable Ordinate -51 INVERSE FUNCTION xy
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Independent Variable Abscissa Dependent Variable Ordinate -51 3 INVERSE FUNCTION Independent Variable Abscissa Dependent Variable Ordinate 1-5 3-3 4-2 xy
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Independent Variable Abscissa Dependent Variable Ordinate 1-5 3-3 4-2 Independent Variable Abscissa Dependent Variable Ordinate -51 -33 INVERSE FUNCTION xy
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Independent Variable Abscissa Dependent Variable Ordinate 1-5 3-3 4-2 Independent Variable Abscissa Dependent Variable Ordinate -51 -33 4 INVERSE FUNCTION xy
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Independent Variable Abscissa Dependent Variable Ordinate 1-5 3-3 4-2 Independent Variable Abscissa Dependent Variable Ordinate -51 -33 -24 INVERSE FUNCTION xy
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Independent Variable Abscissa Dependent Variable Ordinate 1-5 3-3 4-2 Independent Variable Abscissa Dependent Variable Ordinate -51 -33 -24 INVERSE FUNCTION xy
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Independent Variable Abscissa Dependent Variable Ordinate 1-5 3-3 4-2 Independent Variable Abscissa Dependent Variable Ordinate -51 -33 -24 INVERSE FUNCTION xy
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Independent Variable Abscissa Dependent Variable Ordinate 1-5 3-3 4-2 Independent Variable Abscissa Dependent Variable Ordinate -51 -33 -24 INVERSE FUNCTION xy
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Is it a FUNCTION? Is it a ONE-TO-ONE?
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INVERSE FUNCTION
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Find The Equation of the Line
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y = 2 x – 4
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Find The Equation of the Line y = 2x – 4
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y = ½ x + 2
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INVERSE FUNCTION
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Any Vertical Line Drawn Intersects The Graph No More Than Once
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Any Horizontal Line Drawn Intersects The Graph No More Than Once
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INVERSE FUNCTION
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Independent Variable Abscissa Dependent Variable Ordinate 1-5 3-3 4-2
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The Dependent and Independent Variables trade places
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Solve For The New y
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INVERSE FUNCTION
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FUNCTION
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Match y = 2x – 4 y = ½ x + 2
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The Dependent and Independent Variables trade places
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INVERSE FUNCTION FUNCTION
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The Dependent and Independent Variables trade places
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INVERSE FUNCTION FUNCTION
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()
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The Dependent and Independent Variables trade places
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INVERSE FUNCTION FUNCTION
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() () When you put in into the Calculator
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The Dependent and Independent Variables trade places
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INVERSE FUNCTION FUNCTION
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