Discuss the surjectivity of the following mapping: `f: ZZ rarr ZZ` defined by `f(x)=2x-1`, for all `x in ZZ`, where `ZZ` is the set of integers.

The mapping f:ZZ rarr ZZ defined by , f(x)=3x-2 , for all x in ZZ , then f will be ___

Discuss the surjectivity of the following functions: f:R rarr given by f(x)=x^(3)+2 for all x in R

Show that the function f:ZZ rarrZZ defined by f(x)=2x^(2)-3 for all x in ZZ , is not one-one , here ZZ is the set of integers.

Let f: I rarr I be defined by f(x) = x + k where k is a fixed integer and I is the set of all integers then f is

Let NN be the set of natural numbers and D be the set of odd natural numbers. Then show that the mapping f:NN rarr D , defined by f(x)=2x-1, for all x in NN is a surjection.

Discuss the surjectivity of f:Z rarr Z given by f(x)=3x+2 for all x in Z

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.

Let A = {-1, 0, 1, 2, 3} and f: A rarrZZ be given by f(x)=x^2-5x+7, where ZZ is the set of integers. Find the range of f.

Discuss the surjectivity of f:R rarr R given by f(x)=x^(2)+2 for all x in R

Discuss the surjectivity of f:R rarr R given by f(x)=x^(3)+2 for all x in R