Determine Whether the Function Has an Inverse Function, If It $f ( x ) = x ^ { 4 }$

question 92

Multiple Choice

Determine whether the function has an inverse function, If it does, find its inverse function. $f ( x ) = x ^ { 4 }$

• A)No, \(f\) does not have an inverse function.
• B)Yes, \(f\) has an inverse function, \(y = x ^ { 4 }\)
• C)Yes, \(f\) has an inverse function, \(y = - x ^ { - 4 }\)
• D)Yes, \(f\) has an inverse function, \(y = x ^ { - 4 }\)
• E)Yes, \(f\) has an inverse function, \(y = - x ^ { 4 }\)

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Definitions:

Activation-synthesis Theory

A theory that suggests dreams are the result of the brain's attempt to make sense of random neural activity during sleep.

Neurons

Specialized cells in the nervous system that transmit information to other nerve cells, muscle, or gland cells.

Pons

A part of the brainstem that links the medulla oblongata and the thalamus, playing a crucial role in controlling breathing, communication between different parts of the brain, and sensations such as hearing, taste, and balance.

Activation-synthesis Theory

A theory suggesting that dreams are the result of the cerebral cortex interpreting random signals from the brainstem during REM sleep.