Most Important Selected Qs for JEE AdvancedMathematicsFunctions
Paragraph K(x) is a function such that K(f(x))=a+b+c+d , where aligned & a = array lll 0 & if & f( x ) is even -1 & if & f( x ) is odd 2 & if & f( x ) is niether even nor odd array . & b = array lll 3 & if & f( x ) is periodic 4 & if & f( x ) is aperiodic array . & c = array lll 5 & if & f( x ) is one one 6 & if & f( x ) is many one array . & d = array lll 7 & if & f( x ) is onto 8 & if & f( x ) is into array . align
Options
- Aone one onto
- Bone one into
- Cmany one into
- Dmany one onto
Correct answer
C. many one into
Step-by-step solution
aligned & k ( x ^2 )=0+4+6+8 & =18 aligned aligned & k ( e ^ x )=2+4+5+87 & =19 & k ( x )=-1+3+6+8 & =16 & aligned k (| x |) & =0+4+6+8 & =18 aligned aligned