Q2 of 168 Page 231

Find the maximum and minimum values, if any, of the following functions given by

f (x) = |sin 4x + 3|

It is given that f(x) = |sin 4x + 3|

Now, we can see that -1 ≤ sin4x ≤ 1


⇒ 2 ≤ sin 4x + 3 ≤ 4


⇒ 2 ≤ |sin 4x + 3| ≤ 4


Therefore, the maximum and minimum value of function h are 4 and 2 respectively.


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