Formula `f(x)=x^2` defines a one-one function when

A function f:R rarr R defined as f(x)=x^(3)-ax^(2)+3ax+7 is one-one function,then exhaustive range of a is

A fuction f:RrarrR defined by f(x)=(2x-3)/7 .Is f a one-one function?Why?

Show that the function f: ZvecZ defined by f(x)=x^2+x for all x in Z , is a many one function.

Let f: R-{n}->R be a function defined by f(x)=(x-m)/(x-n) such that m!=n 1) f is one one into function2) f is one one onto function3) f is many one into funciton4) f is many one onto function then

Show that the function f : R rarr {x in R : -1 < x < 1} defined by f(x) = x/(|x|), x in R is one-one function.

Let f: (-1, 1) rarr B be a function defined by (x)=tan^(-1) frac (2x)(1+x^2) , then f is both one-one and onto when B is the interval:

Show that the function f:R rarr R defined as f(x)=x^(2) is neither one-one nor onto.

Show that the function f: R rarr R , defined as f(x) = x^2 , is neither one-one nor onto.

Check whether the function defined by f : Zrarr Z, f(x) = x^2 is one-one and onto ?

Check whether the function defined by f : Nrarr N, f(x) = x^2 is one-one and onto ?