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.

---

Definitions:

Cohesive Groups

Groups characterized by strong interpersonal bonds among members, leading to high levels of cooperation and team effectiveness.

Informal Groups

Unofficial and emerge from relationships and shared interests among members.

Formal Groups

Officially recognised and supported by the organisation.

Group Dynamics

The psychological processes involving interactions, behaviors, attitudes, and roles that occur within a group setting.