If f : [0, ∞) → [0, ∞), and then f is
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
If f : [0, ∞) → [0, ∞), and
then f is
- one-one and onto
- one-one but not onto
- onto but not one-one
- neither one-one nor onto
Answer
(B) one-one but not onto
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Let y 1 : [0, ∞) R , y 2 : [0, ∞ ] R , f : [0, ∞) R , and g : [0, ∞] R , be functions such that f (0) = g (0)…
- The number of roots of the question 1 + l og 2 (1 – x) = 2 –x is :
- Let f ( x ) = ( x + 1) 2 –1, x ≥ –1. Then the set x : f ( x ) = f –1 ( x ) is
- Let f (x) = min x, x 2 , for every x ∈ R. Then :
- A certain polynomial P(x), x ∈ R when divided by x – a, x – b, x – c leaves remainder a, b, c respectively…
- The range of the function f (x) = |x – 1| + |x – 2|, –1 < x < 3, is
- Assertion : ^ -1 [ ^ -1 x+ ^ -1 (1-x) ]= 2 has no non-zero integral solution. Reason : The greatest and least…
- If f ( x + y 8 , x - y 8 )= xy , then f (m, n) + f (n, m) = 0
More Sets, Relations and Functions questions · Browse all practice questions