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Determine Whether the Function Is One-To-One f={(0,0),(1,1),(−2,8)}\mathrm { f } = \{ ( 0,0 ) , ( 1,1 ) , ( - 2,8 ) \}

Question 134

Multiple Choice

Determine whether the function is one-to-one. If it is one-to-one find an equation or a set of ordered pairs that defines
the inverse function of the given function.
- f={(0,0) ,(1,1) ,(−2,8) }\mathrm { f } = \{ ( 0,0 ) , ( 1,1 ) , ( - 2,8 ) \}


A) one-to-one; f−1={(0,0) ,(1,1) ,(8,−2) }\mathrm { f } ^ { - 1 } = \{ ( 0,0 ) , ( 1,1 ) , ( 8 , - 2 ) \}
B) not one-to-one
C) one-to-one; f−1={(0,0) ,(1,−2) ,(8,1) }\mathrm { f } ^ { - 1 } = \{ ( 0,0 ) , ( 1 , - 2 ) , ( 8,1 ) \}
D) one-to-one; f−1={(0,0) ,(1,11) ,(−2,18) }\mathrm { f } ^ { - 1 } = \left\{ ( 0,0 ) , \left( 1 , \frac { 1 } { 1 } \right) , \left( - 2 , \frac { 1 } { 8 } \right) \right\}

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