CBSE (Science) Class 12CBSE
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

F(X) = | Sin 4x+3 | on R - CBSE (Science) Class 12 - 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?

Video TutorialsVIEW ALL [1]

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