" (ii) "f(x)=x^(2)" हारा प्रद्त "f:Z rarr Z" फलन है। "

Find whether the following functions are one-one or not: f:R rarr given by f(x)=x^(3)+2 for all x in Rf:Z rarr Z given by f(x)=x^(2)+1 for all x in Z

Which of the following functions has inverse function? f:Z rarr Z defined by f(x)=x+2f:Z rarr Z defined by f(x)=2xf:Z rarr Z defined byy f(x)=xf:Z rarr Z defined by f(x)=|x|

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

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

Find whether the function f: Z rarr Z , defined by f(x) = x^(2) +5, AA x in Z is one-one or not.

Check the injectivity and surjectivity of the following functions: (i) f : N ->N given by f(x)=x^2 (ii) f : Z-> Z given by f(x)=x^2 (iii) f : R ->R given by f(x)=x^2 (iv) f : N-> N given by f(x)=x^3 (v) f : Z → Z given by f(x) = x^3

Check the injectivity and surjectivity of the function f:Z rarr Z given by f(x) = x^3