Graph the Function, Showing All Asymptotes (Those That Do Not $$f ( x ) = \frac { x ^ { 2 } - 3 x - 4 } { 3 x ^ { 2 } + 2 }$$

question 4

Multiple Choice

Graph the function, showing all asymptotes (those that do not correspond to an axis) as dashed lines. List the x- and
y-intercepts.
- $$f ( x ) = \frac { x ^ { 2 } - 3 x - 4 } { 3 x ^ { 2 } + 2 }$$

• A) No \(x\)-intercepts, \(y\)-intercept: \(( 0 , - 4 )\);
• B) No \(x\)-intercepts, \(y\)-intercept: \(( 0 , - 4 )\);
• C) x-intercepts: \(( 1,0 )\) and \(( - 4,0 )\),
• D) x-intercepts: \(( - 1,0 )\) and \(( 4,0 )\), y-intercept: \(( 0 , - 2 )\); \(\mathrm { y }\)-intercept: \(( 0 , - 2 )\);

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Definitions:

Consistency

The quality of always acting or behaving in the same way, leading to predictable and reliable outcomes or performances.

Conditioned Response

A learned reaction to a specific stimulus that occurs after repeated exposure to that stimulus.

Neutral Stimulus

A stimulus that initially produces no specific response other than focusing attention; in conditioning, it becomes associated with an unconditioned stimulus.

Unconditioned Stimulus

In classical conditioning, a stimulus that naturally and automatically triggers a response without prior conditioning.