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:

ATP

Adenosine triphosphate, a high-energy molecule used for energy storage by organisms. In cellular processes, it releases energy when it is broken down into ADP and phosphate.

Metabolism

The set of life-sustaining chemical reactions in organisms, involving the conversion of food into energy, the creation of building blocks for proteins, lipids, nucleic acids, and some carbohydrates, and the elimination of metabolic wastes.

Chemical Reactions

Processes in which substances interact to form new products, involving the rearrangement of atoms or the transfer of electrons.

Energy Release

The process of making energy available for use by the body, typically through the breakdown of nutrients in cells to produce ATP, the energy currency of the cell.