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

question 38

Multiple Choice

Find the slowest growing and the fastest growing functions as x→∞ .
- $$\begin{array} { l } y = x ^ { 2 } + 7 x \\y = x ^ { 2 } \\y = \sqrt { x ^ { 4 } + x ^ { 2 } } \\y = 2 x ^ { 2 }\end{array}$$

• A) Slowest: \(y = \sqrt { x ^ { 4 } + x ^ { 2 } }\)
• Fastest: \(y = 2 x ^ { 2 }\)
• B) Slowest: \(y = x ^ { 2 }\) and \(y = 2 x ^ { 2 }\) grow at the same rate.
• Fastest: \(y = \sqrt { x ^ { 4 } + x ^ { 2 } }\)
• C) Slowest: \(y = \sqrt { x ^ { 4 } + x ^ { 2 } }\)
• Fastest: \(y = x ^ { 2 } + 7 x\)
• D) They all grow at the same rate.

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