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Question
f(x)=sin 2x+5 on R .
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Solution
Given: f(x) = sin 2x + 5
We know that − 1 ≤ sin 2x ≤ 1.
⇒ − 1 + 5 ≤ sin 2x + 5 ≤ 1 + 5
⇒ 4 ≤ sin 2x + 5 ≤ 6
⇒ 4 ≤ f(x) ≤ 6
Hence, the maximum and minimum values of f are 6 and 4, respectively.
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