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

question 6

Multiple Choice

Find the slowest growing and the fastest growing functions as x→∞ .
- $$\begin{array} { l } y = e ^ { x } \\y = e ^ { x / 7 } \\y = x ^ { x } \\y = 4 ^ { x }\end{array}$$

• A) Slowest: \(y = e ^ { x / 7 }\)
• Fastest: \(\mathrm { y } = \mathrm { x } ^ { \mathrm { x } }\)
• B) Slowest: \(\mathrm { y } = \mathrm { e } ^ { \mathrm { x } / 7 }\) and \(\mathrm { y } = \mathrm { e } ^ { \mathrm { x } }\) grow at the same rate.
• Fastest: \(y = 4 ^ { x }\)
• C) Slowest: \(y = x ^ { x }\)
• Fastest: \(y = 4 ^ { x }\)
• D) Slowest: \(y = e ^ { x / 7 }\) and \(y = e ^ { x }\) grow at the same rate.
• Fastest: \(\mathrm { y } = \mathrm { x } ^ { \mathrm { x } }\)

Understand the basic mechanisms and pathways of water and nutrient transport in plants.

Identify the structure and function of different parts of a plant, including roots, leaves, and stems.

Comprehend the process of photosynthesis and the role of leaves in this process.

Recognize the adaptations of plants to their environments, particularly in relation to water conservation and gas exchange.

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