The function f : [ 4 , 5 4 ] [-1, 1] defined as f(x) = x + x 2 is:
Mathematics · Class 12 · CBSE — Relations and Functions
The function \(f : \left[\frac{\pi}{4}, \frac{5\pi}{4}\right] \to [-1, 1]\) defined as \(f(x) = \frac{\sin x + \cos x}{\sqrt{2}}\) is:
- one-one but not onto
- one-one and onto both
- onto but not one-one
- neither one-one nor onto
Answer
(A) one-one but not onto
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