Define the Function $f ( x ) = \frac { 6 x ^ { 3 } + x } { 4 x }$

question 36

Multiple Choice

Define the function $f ( x ) = \frac { 6 x ^ { 3 } + x } { 4 x }$ at 0 so as to make it continuous at 0 .

• A) \(f ( 0 ) = \frac { 3 } { 2 }\)
• B) \(f ( 0 ) = \frac { 7 } { 4 }\)
• C) \(f ( 0 ) = 0\)
• D) \(f ( 0 ) = \frac { 1 } { 4 }\)

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Definitions:

Ring Gear Tooth

A tooth on the outer edge of a ring gear, engaged by the pinion gear to transmit torque in a differential.

Top Land

The uppermost portion of a piston in an internal combustion engine, situated above the top piston ring and playing a key role in sealing combustion gases.

Differential Carrier Oil

A type of lubricant used in the differential of a vehicle to reduce friction and protect the gears.

Operating Temperature

The range of temperature within which a mechanical or electronic device is designed to function efficiently and safely.