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`f:R to R" given by "f(x)|x-1|"for all "x in R``g:[-pi//2,pi//2] in R` is given by: <br> `g(x)=|sin x|"for all "x in[-pi//2,pi//2]``h:[-pi//2,pi//2] in R` is given by <br> `h=(x)=sin x" for all "x in [-pi//2, pi//2]` `phi: R to R "given by" f(x)=x^(2)-4"for all x " inR`

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CSolution :

The graphs of f,g,h and `phi` are as shown below: It is evident from these graphs that `h:[-pi//2,pi//2] to R` given by h(x)=sin x is the one-one and all other functions are many-one as it is possible to draw horizontal line cutting or interescting the curves represented by them at more than one point.