$\text { Find the vertical asymptotes (if any) of the function } f ( x ) = \tan ( 15 x ) \text {. }$

question 33

Multiple Choice

$\text { Find the vertical asymptotes (if any) of the function } f ( x ) = \tan ( 15 x ) \text {. }$

• A) \(x = \frac { k } { 15 } \pi ( k = 0 , \pm 1 , \pm 2 , \ldots )\)
• B) \(x = \frac { 2 k + 1 } { 30 } \pi ( k = 0 , \pm 1 , \pm 2 , \ldots )\)
• C) \(x = \frac { 2 k } { 15 } \pi ( k = 0 , \pm 1 , \pm 2 , \ldots )\)
• D) \(x = \frac { 2 k + 1 } { 15 } \pi ( k = 0 , \pm 1 , \pm 2 , \ldots )\)
• E) no vertical asymptotes

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Definitions:

Reticular Formation

A network of neurons located in the brainstem, involved in various functions including regulation of wakefulness and sleep.

Midbrain

A central part of the brainstem that plays an important role in vision, hearing, motor control, sleep/wake, arousal, and temperature regulation.

Medulla

The base of the brainstem; it controls vital life-sustaining functions like heartbeat, breathing, blood pressure, and digestion.

Corpus Callosum

A wide band of nerve fibers connecting the two hemispheres of the brain, facilitating communication between them.