Question

Let ${m{g}}\,\,\left( x ight) = \mathop \smallint 
olimits_0^x \,\,f\left( t ight)\,\,dt$ where $\frac{1}{2}\,\, \le \,\,f\left( t ight)\,\, \le 1,\,\,t \in \,\,\left[ {0,1} ight]$ and $0\,\, \le \,\,f\,\,\left( t ight)\,\, \le \,\,\frac{1}{2}$ for $t\,\, \in \,\,\left( {1,2} ight]\,$, then

Accepted Answer

$0\,\, \le \,\,{\rm{g}}\,\,\left( 2 \right) < 2$

Answer

$ - \,\,\frac{3}{2}\,\, \le \,\,{\rm{g}}\,\,\left( 2 \right) < \,\,\frac{1}{2}$

Answer

$\frac{3}{2}\,\, < \,\,{\rm{g}}\,\,\left( 2 \right) \le \,\,\frac{5}{2}$

Answer

$2\,\, < \,\,{\rm{g}}\,\,\left( 2 \right) < 4$

JEE MATHEMATICS MCQ: FUNCTIONS

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