If the Following Defines a One-To-One Function, Find Its Inverse

question 114

Multiple Choice

If the following defines a one-to-one function, find its inverse. If not, write "Not one-to-one."
- $$\begin{array}{l}\begin{array} { c | c } x & f ( x ) \\\hline 2 & 24 \\\hline 9 & - 4 \\\hline 13 & - 4 \\\hline 17 & 18\end{array}\\\\\begin{array} { l | l } \mathrm { x } & \mathrm { f } ^ { - 1 } ( \mathrm { x } ) \\\hline & \\\hline & \\\hline & \\\hline &\end{array}\end{array}$$

• A)\(\begin{array} { c | c }
• \mathrm { x } & \mathrm { f } ^ { - 1 } ( \mathrm { x } ) \\
• \hline 24 & 2 \\
• \hline - 4 & 9 \\
• \hline - 4 & 13 \\
• \hline 18 & 17
• \end{array}\)
• B)\(\begin{array} { c | c }
• \mathrm { x } & \mathrm { f } ( \mathrm { x } ) \\
• \hline 2 & 18 \\
• \hline 9 & 24 \\
• \hline 13 & - 4 \\
• \hline 17 & - 4
• \end{array}\)
• C)\(\text { Not one-to-one }\)
• D)\(\begin{array} { c | c }
• \mathrm { x } & \mathrm { f } ^ { - 1 } ( \mathrm { x } ) \\
• \hline 24 & 2 \\
• \hline - 4 & 9 \\
• \hline - 4 & 17 \\
• \hline 18 & 13
• \end{array}\)

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Definitions:

Absenteeism

The habitual non-presence of an employee at their job, often without good reason.

Situational Factors

External conditions or circumstances that can affect an individual's behavior or choices at a given moment.

Aptitudes

Natural abilities or talents that individuals possess, which can influence their ease of learning or proficiency in particular tasks or areas.

Self-Verification

The theory that people have a need to seek confirmation of their self-concept, whether positive or negative, from others in their social environment.