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)\(\begin{array} { c | c }
• \mathrm { x } & \mathrm { f } ^ { - 1 } ( \mathrm { x } ) \\
• \hline 24 & 2 \\
• \hline - 4 & 9 \\
• \hline - 4 & 17 \\
• \hline 18 & 13
• \end{array}\)

Understand the structure and function of components in the reflex arc.

Identify and sequence the events in muscle reflex actions.

Distinguish between the roles of different types of neurons in the reflex pathways.

Identify the reflexes tested during physical examinations and their significance.

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Definitions:

Afferent

Conducting toward a central nervous system (CNS) structure.

Muscle Spasticity

A condition characterized by an abnormal increase in muscle tone or stiffness, which can interfere with movement, speech, or cause discomfort and pain.

Dyskinesia

A category of movement disorders characterized by involuntary muscle movements, often as a side effect of long-term medication use.

Cerebral Palsy

A neurological disorder caused by a non-progressive brain injury or malformation that occurs while the child’s brain is under development, affecting body movement and muscle coordination.