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

Question

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

Philoid · Accepted Answer

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.