[" 3.show that the function "f:z rarr z],[" defined by "f(x)=x^(2)+x" tree 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.

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: R rarr R defined by f(x) = (4x-3)/5, x in R is one one and onto function.

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

Show that the function f: R rarr R defined by f(x) = (3x-1)/2, x in R is one-one and onto function.

Show. that the function f: R rarr R defined by f(x)= (3x-1)/3, x inR is one-one and onto function.

Prove that the function f:N rarr N, defined by f(x)=x^(2)+x+1 is one-one but not onto

Show that the function f : R rarr R defined by f(x)=x^2+4 is not invertible.

If ZZ be the set of integers, prove that the function f: ZZ rarrZZ defined by f(x)=|x| , for all x in Z is a many -one function.

Prove that the function f: R rarr R defined by f(x) = 2x + 5 is one-one.