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

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

We have,

f (x) = sin 3x + 4 for all
Now,  for all
 for all
 for all
 for all
Thus, the maximum value of f (x) is 5 and the minimum value is 3.
Now, f (x) = 5
 sin 3x + 4 = 5  sin 3x = 1  3x =   x =  
So, f (x) attains its maximum values 5 at
Also, f(x) = 3  sin 3x + 4 = 3  sin 3x = –1  
3x =   x =
So, f (x) attains the minimum value 3 at
x =

Answered by  | 4th Jun, 2014, 03:23: PM