Let \( A=\{x: 0 \leq x\pi / 2\} \) and \( f: R \rightarrow A \) be ...
Let \( A=\{x: 0 \leq x\pi / 2\} \) and \( f: R \rightarrow A \) be an onto
\( \mathrm{P} \)
function given by \( f(x)=\tan ^{-1}\left(x^{2}+x+\lambda\right) \), where \( \lambda \)
W
is a constant. Then,
(1) \( \lambda0 \)
(2) \( \lambda \geq 1 / 4 \)
(3) \( \lambda1 / 4 \)
(4) \( 0 \leq \lambda \leq 1 \)
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