Find the Inverse of the Function and State Its Domain $\{ ( - 3,4 ) , ( - 1,5 ) , ( 0,2 ) , ( 2,6 ) , ( 5,7 ) \}$

question 96

Multiple Choice

Find the inverse of the function and state its domain and range .
- $\{ ( - 3,4 ) , ( - 1,5 ) , ( 0,2 ) , ( 2,6 ) , ( 5,7 ) \}$

• A) \(\{ ( 3,4 ) , ( 1,5 ) , ( 0,2 ) , ( - 2,6 ) , ( - 5,7 ) \} ; \mathrm { D } = \{ 3,1,0 , - 2 , - 5 \} ; \mathrm { R } = \{ 2,4,5,6,7 \}\)
• B) \(\{ ( 3 , - 4 ) , ( 1 , - 5 ) , ( 0 , - 2 ) , ( - 2 , - 6 ) , ( - 5 , - 7 ) \} ; \mathrm { D } = \{ 3,1,0 , - 2 , - 5 \} ; \mathrm { R } = \{ - 7 , - 6 , - 5 , - 4 , - 2 \}\)
• C) \(\{ ( 4 , - 3 ) , ( 5 , - 1 ) , ( 2,0 ) , ( 6,2 ) , ( 7,5 ) \} D = \{ 2,4,5,6,7 \} ; R = \{ - 3 , - 1,0,2,5 \}\)
• D) \(\{ ( - 3 , - 4 ) , ( - 1 , - 5 ) , ( 0 , - 2 ) , ( 2 , - 6 ) , ( 5 , - 7 ) \} ; \mathrm { D } = \{ - 3 , - 1,0,2,5 \} ; \mathrm { R } = \{ - 7 , - 6 , - 5 , - 4 , - 2 \}\)

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Definitions:

Self-Determination

The process by which a person controls their own life, making choices and decisions based on personal preferences and interests.

Resilience

The capacity to recover quickly from difficulties; toughness.

Acceptance

Acceptance refers to the act of receiving or taking something offered or recognizing a situation or condition as valid or correct without attempting to change it, often implying agreement or consent.

Manipulation

The act of controlling or influencing a person or situation cunningly or unfairly.