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:

Population Change

The alteration in the number of individuals in a population due to factors like birth rates, death rates, and migration.

Monkeys

Primates that typically have tails and are smaller than apes, found in both New and Old World regions.

Top-Down Population Control

The regulation of population sizes through predation, disease, or other factors that reduce numbers from the top of the food chain.

Predator Control

The practice of managing and regulating predator populations to protect other species, often to balance ecosystems or protect endangered species.