Find whether the following functions are one-one or many-one `f(x)=sqrt(1-e^(1/x-1))`

Whether the following functions are one-one? f(x) = x|x|

Whether the following functions are one-one? f(x) = |x|

Whether the following functions are one-one? f(x) = x^2

Whether the following functions are one-one? f(x) =x + (1)/(x)

Examine whether the following functions are one-one, many-one or into, onto f(x)=1/(1+x^(2)),(-oo,0)toR

Examine whether the following functions are one-one, many-one or into, onto f(x)=x^(2)+lnx

Find whether the following functions are one-one or not. f:RtoR , defined by f(x)=x^(3),x inR

Find whether the following functions are one-one or not. f:ZtoZ , defined by f(x)=x^(2)+5 for all x inZ

Find whether the following function are one-one or many -one & into or onto if f:DtoR where D is its domain f(x)=1/(sinsqrt(|x|))

Find whether the following function are one-one or many -one & into or onto if f:DtoR where D is its domain f(x)=1/(sinsqrt(|x|))