A function f : A → B, where A x : – 1 ≤ x ≤ 1 and B = y : 1 ≤ y ≤ 2 is defined by the…
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
A function f : A → B, where A {x : – 1 ≤ x ≤ 1} and
B = {y : 1 ≤ y ≤ 2} is defined by the rule y = f (x) = 1 + x2. Which of the following statement is true?
B = {y : 1 ≤ y ≤ 2} is defined by the rule y = f (x) = 1 + x2. Which of the following statement is true?
- f is injective but not surjective
- f is surjective but not injective
- f is both injective and surjective
- f is neither injective nor surjective
Answer
(B) f is surjective but not injective
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