If the function y= (f(x)) is monotonic for all values of x (where f(x) is continuous)…
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
If the function \(y=\sin (f(x))\) is monotonic for all values of x (where f(x) is continuous), then the difference between the maximum and the minimum value of \(f(x)\) is
- \(\pi\)
- \(2 \pi\)
- \(\pi / 2\)
- none of these
Answer
(A)
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If θ = sin –1 x + cos –1 x – tan –1 x, x ≥ 0, then the smallest interval in which θ lies, is given by :
- Let f be a function from R to R given by f (x) = 2x + |cos x|. Then f is
- If f(x)= [a-x^ n ]^ 1 / n , where a>0 and n is a positive integer, then f^ f [f( x )] is equal to:
- Find the range of the function f(x)= 2+x 2-x
- If cos –1 x – cos –1 y 2 = , then 4x 2 – 4xy cos α + y 2 is equal to
- Let f (x) = cos 3x + sin 3 x . Then f (x) is
- The set of values of x which satisfy the inequations 5x + 2 < 3x + 8 and x+2 x-1 <4 is
- The period of f(x)= ( x -1 )+ ( x ) n ∈ 7 , n > 2 is:
More Sets, Relations and Functions questions · Browse all practice questions