Let f (x) = min x, x 2 , for every x ∈ R. Then :

Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions

1. \[f(x)=\left\{\begin{array}{ll} x, & x \geq 1 \\ x^{2}, & 0 \leq x<1 \\ x, & x<0 \end{array}\right.\]
2. \(f(x)=\left\{\begin{array}{cc} x^{2}, & x \geq 1 \\ x, & x<1 \end{array}\right.\)
3. \(f(x)=\left\{\begin{array}{cc} x, & x \geq 1 \\ x^{2}, & x<1 \end{array}\right.\)
4. \[f(x)=\left\{\begin{array}{ll} x^{2}, & x \geq 1 \\ x, & 0 \leq x<1 \\ x^{2}, & x<0 \end{array}\right.\]

Answer

(A) f(x)= array ll x, & x 1 x^ 2 , & 0 x<1 x, & x<0 array .

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