Share
Notifications

View all notifications
Advertisement

F(X) = | Sin 4x+3 | on R - Mathematics

Login
Create free account


      Forgot password?

Question

f(x) = | sin 4x+3 | on R ?

Solution

Given: f(x) = \[\left| \sin 4x + 3 \right|\] 

We know that −1 \[\leq\] sin 4x \[\leq\]1.

⇒ 2 \[\leq\] sin 4x + 3 \[\leq\]4

⇒ 2 \[\leq\] \[\left| \sin 4x + 3 \right|\] \[\leq\] 4
⇒ 2 \[\leq\] f(x) \[\leq\] 4

Hence, the maximum and minimum values of f are 4 and 2, respectively.

  Is there an error in this question or solution?
Advertisement

APPEARS IN

 RD Sharma Solution for Mathematics for Class 12 (Set of 2 Volume) (2018 (Latest))
Chapter 18: Maxima and Minima
Ex. 18.1 | Q: 5 | Page no. 7
Advertisement

Video TutorialsVIEW ALL [1]

F(X) = | Sin 4x+3 | on R Concept: Graph of Maxima and Minima.
Advertisement
View in app×