(2)Find the maximum and minimum values, if any, of the following functions
given by
(iv) f (x) = | \sin 4x + 3|

Answers (1)

Given function is
f (x) = | \sin 4x + 3|
We know that value of sin 4x varies from
-1 \leq sin4x \leq 1
-1 + 3 \leq sin4x +3\leq 1 +3\\ 2 \leq sin4x +3\leq 4\\ 2\leq | sin4x +3| \leq 4
Hence, the maximum value of our function  f (x) = | \sin 4x + 3|  is  4  and the minimum value is 2

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