Which one of the following functions is one-one?A. `f:R to R" given by "f(x)|x-1|"for all "x in R`B. `g:[-pi//2,pi//2] in R` is given by: `g(x)=|sin x|"for all "x in[-pi//2,pi//2]`C. `h:[-pi//2,pi//2] in R` is given by `h=(x)=sin x" for all "x in [-pi//2, pi//2]`D. `phi: R to R "given by" f(x)=x^(2)-4"for all x " inR`

Which one of the following functions is one-one?A. `f:R to R" given by

1.	Which one of the following functions is one-one?A. `f:R to R" given by "f(x)\|x-1\|"for all "x in R`B. `g:[-pi//2,pi//2] in R` is given by: `g(x)=\|sin x\|"for all "x in[-pi//2,pi//2]`C. `h:[-pi//2,pi//2] in R` is given by `h=(x)=sin x" for all "x in [-pi//2, pi//2]`D. `phi: R to R "given by" f(x)=x^(2)-4"for all x " inR`
Answer» Correct Answer - C 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.