`f: R to R ` is a function where f(x)= 2x-3 . Check whether f is noe -one ?

If f:R rarr R be defined as f(x)=x+sin x+7, then check whether f(x) is one-one or many one

A function f: R to R is defined as f(x)=4x-1, x in R, then prove that f is one - one.

A function f: R to R is defined as f(x)=4x-1, x in R, then prove that f is one - one.

If a function f: R to R is defined as f(x)=x^(3)+1 , then prove that f is one-one onto.

If R is the set of real numbers and a function f: R to R is defined as f(x)=x^(2), x in R , then prove that f is many-one into function.

A function f:R to R is defined by f(x)=2x^(2) . Is the function f one - one and onto ? Justify your answer.

If f : R - (-1,1) to R is defined by f(x) = (x)/(x^(2)-1) , verify whether f is one to one.

A function f:R to R is defined by f(x)=4x^(3)+5x in R . Examine if f is one - one and onto.

A function f : R to R is defined by f(x) = 2x^(3) + 3 . Show that f is a bijective mapping .