Find the Slowest Growing and the Fastest Growing Functions as X→∞

question 112

Multiple Choice

Find the slowest growing and the fastest growing functions as x→∞ .
- $$\begin{array} { l } y = 2 x ^ { 2 } + 9 x \\y = e ^ { x } \\y = e ^ { x } / 6 \\y = \log _ { 4 } x\end{array}$$

• A) Slowest: \(y = \log _ { 4 } x\)
• Fastest: \(\mathrm { y } = \mathrm { e } ^ { \mathrm { X } }\)
• B) Slowest: \(2 x ^ { 2 } + 9 x\)
• Fastest: \(\mathrm { y } = \mathrm { e } ^ { \mathrm { x } }\)
• C) Slowest: \(y = e ^ { x } / 6\)
• Fastest: \(2 x ^ { 2 } + 9 x\)
• D) Slowest: \(y = \log _ { 4 } x\)
• Fastest: \(\mathrm { y } = \mathrm { e } ^ { \mathrm { x } }\) and \(\mathrm { y } = \mathrm { e } ^ { \mathrm { x } } / 6\) grow at the same rate.

Grasp the informational requirements for stakeholders before voting on proposed corporate combinations.

Understand the legal implications of acquiring assets and liabilities in business transactions.

Grasp shareholder rights in the context of corporate acquisitions and mergers.

Identify different business organizations and their formation requirements.

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Definitions:

Niche Overlap

Refers to the condition where two or more species occupy overlapping niches, sharing resources in the same environment, which can lead to competition.

Mutualism

A symbiotic relationship between two species where both benefit from the association.

Commensalism

A symbiotic relationship where one organism benefits without significantly affecting the other.

Predation

An interaction between species where one organism, the predator, feeds on another organism, the prey, influencing the evolution of both.