Applications Of Derivatives Question 287

Question: The maximum and minimum values of the function $ |\sin 4x+3| $ are

Options:

A) 1, 2

B) 4, 2

C) 2, 4

D) - 1, 1

Show Answer

Answer:

Correct Answer: B

Solution:

Here $ f(x)=|\sin 4x+3| $

We know that minimum value of $ \sin x $ is -1 and maximum is 1.

Hence minimum $ |\sin 4x+3|,=,|-1+3|=2 $ and maximum $ |\sin 4x+3|=|1+3|=4 $ .