Determine What, If Any, Value to Assign To $f ( a )$

question 31

Multiple Choice

Determine what, if any, value to assign to $f ( a )$ to make f continuous at $x = a$ . $f ( x ) = \frac { 3 } { 2 x ^ { 2 } - x }$ ; $a = 0$

• A) \(f ( 0 ) = - 1\)
• B) \(f ( 0 ) = - 2\)
• C) \(f ( 0 ) = 1\)
• D) \(f ( 0 ) = 0\)
• E) No value of \(f ( 0 )\) will make it continuous at 0.

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Definitions:

Myenteric Plexus

A network of neurons located between the layers of the gastrointestinal tract, involved in regulating gut movement and secretion.

Muscularis

A layer of muscle in the walls of various organs, such as the digestive tract, responsible for movement and peristalsis.

Parotid Salivary Glands

The largest of the salivary glands, located near the ears, that produce saliva to aid in digestion and oral health.

Nasopharynx

Part of the pharynx that lies above the soft palate; anteriorly it opens into the nasal cavity.