Provide an Appropriate Response $f ( x ) = \frac { x - 4 } { x ^ { 2 } - 9 }$

question 167

Multiple Choice

Provide an appropriate response.
-Which function has no vertical asymptote? Why? a. $f ( x ) = \frac { x - 4 } { x ^ { 2 } - 9 }$
b. $f ( x ) = \frac { 2 } { x ^ { 2 } - 6 x }$
c. $f ( x ) = \frac { 3 x ^ { 2 } + 15 } { x ^ { 2 } + 6 }$
d. $f ( x ) = \frac { x + 5 } { ( x - 5 ) ( x - 3 ) }$

• A) b. The numerator is never equal to 0.
• B) d. No factor from the denominator cancels out.
• C) a. The degree of the denominator is larger than the degree of the numerator.
• D) c. The denominator is never equal to 0.

---

Definitions:

Confabulation

The production of fabricated, distorted, or misinterpreted memories about oneself or the world, without conscious intention to deceive.

Priming

A psychological phenomenon in which exposure to one stimulus influences the response to a subsequent stimulus, without conscious guidance or intention.

Long-term Potentiation

A long-lasting increase in signal transmission between two neurons that results from their simultaneous activation, often considered a cellular mechanism for learning and memory.

Deep Processing

A method of learning in which information is analyzed in a meaningful way as opposed to merely memorized.