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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