A function f : A → B, where A = x :-1 x 1 and B = y: 1 y z is defined by y=f(x)=1+x^ 2…
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
A function \(\text { f }\): A \(\text { → }\) B, where A = \(\{\mathbf{x}:-1 \leqslant \mathbf{x} \leqslant 1\}\) and B = \(\{y: 1 \leqslant y \leqslant z\}\)is defined by \(y=f(x)=1+x^{2}\)
Which of the following statements is true ?
- \(\text { f }\) is injective but not surjective
- \(\text { f }\) is surjective but not injective
- \(\text { f }\) is both injective and surjective
- \(\text { f }\) is neither injective nor surjective
Answer
(D) f is neither injective nor surjective
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