Provide an Appropriate Response $f ( x ) = \frac { 2 x + 1 } { x - 2 }$

question 3

Multiple Choice

Provide an appropriate response.
-Which function has no horizontal asymptote? Why? a. $f ( x ) = \frac { 2 x + 1 } { x - 2 }$
b. $f ( x ) = \frac { x ^ { 3 } } { 3 x ^ { 2 } + 1 }$
c. $f ( x ) = \frac { 6 x } { x ^ { 2 } - 16 }$
d. $f ( x ) = \frac { 8 } { ( x + 4 ) ( x - 3 ) }$

• A) a. The degree of the numerator is equal to the degree of the denominator.
• B) d. The numerator is never equal to 0.
• C) b. The degree of the numerator is greater than the degree of the denominator.
• D) c. The degree of the numerator is less than the degree of the denominator.

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Definitions:

Self-Determination Theory

A theory of motivation that emphasizes the role of intrinsic and extrinsic motivation in driving human behavior and the importance of autonomy, competence, and relatedness.

External Rewards

Incentives or benefits provided by external sources, such as money, praise, or recognition, that motivate individuals to perform certain actions.

Exciting Work

Employment or tasks that stimulate enthusiasm and interest, often because of novelty, variability, or the challenge they present.

Conscientious

Characterized by diligent and careful work or actions.