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ID:
Class: 12
Subject: Math
Topic: Application of Derivative
Type: Short
Question:
Find the maximum and minimum values, if any, of the function \( g(x) = x^3 + 1 \)
Official Solution
Explanation:
Since \(x^3\) is strictly increasing on \(\mathbb{R}\), the function \(g(x) = x^3 + 1\) is also strictly increasing.
\[
\text{Hence, } g(x) \text{ has neither a maximum nor a minimum value on } \mathbb{R}.
\]
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