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ID:
Class: 12
Subject: Math
Topic: Application of Derivative
Type: Short
Question:
Find the maximum and minimum values of the function \( f(x) = |\sin(4x) + 3| \)
Official Solution
Explanation:
Since \(-1 \leq \sin(4x) \leq 1\),
\[
2 \leq \sin(4x) + 3 \leq 4
\]
\[
\Rightarrow 2 \leq |\sin(4x) + 3| \leq 4
\]
\[
\text{Minimum value of } f(x) = 2, \quad \text{Maximum value of } f(x) = 4
\]
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