scag5e_ppt_6_2 - 29 3 1 3 1 1-1 Verify that the inverse of...

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Section 6.2 One-to-One Functions; Inverse Functions
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OBJECTIVE 1
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(a) (b) {(1,5), (2,8), (3,11), (4,14)} Dan John Joe Andy Saturn Pontiac Honda Student Car
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For each function, use the graph to determine whether the function is one-to-one. (a) (b)
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A function that is increasing on an interval I is a one-to-one function in I . A function that is decreasing on an interval I is a one-to-one function on I .
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OBJECTIVE 2
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Dan John Joe Michelle Saturn Pontiac Honda Chrysler Student Car Find the inverse of the following function. Let the domain of the function represent certain students, and let the range represent the make of that student’s car. State the domain and the range of the inverse function.
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{(1,5), (2,8), (3,11), (4,14)} State the domain and the range of the function and its inverse.
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( 29 ( 29 ( 29 ( 29 ( 29
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Unformatted text preview: ( 29 3 1 3 1 1-1 Verify that the inverse of 2 is 2 by showing that for all in the domain of and for all in the domain of . g x x g x x g g x x x g g g x x x g---= + =-= = ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 1 1 1 1 1 1 Verify that the inverse of is . 2 1 2 2 For what values of is ? For what values of is ? f x f x x x x f f x x x f f x x---= =-+ = = OBJECTIVE 3-3-2-1 1 2 3-1 1 2 3 4 x y (-1,0) (0,3) (1,4) The graph shown is that of a one-to-one function. Draw the graph of the inverse. OBJECTIVE 4 ( 29-1 1 Find the inverse of 1. 3 Graph and on the same coordinate axes. f x x f f = -+ ( 29 2 1 , 1 1 x f x x x-= ≠ -+ ( 29 Find the domain and the range of 2 1 1 x f x x-= + ( 29 2 Find the inverse of 1 if 1. y x x =-≥...
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scag5e_ppt_6_2 - 29 3 1 3 1 1-1 Verify that the inverse of...

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