`f:{1,2,3}rarr{4,5}` is not a functio if it is defined by which one of the following?

Is the function f:R rarr R be defined by f(x)=2x+3 a one on one function?

If f:R rarr R be defined as f(x)=sin(|x|) then which one of the following is correct?

If A = {1, 2, 3, 4} and B= {1, 2, 3, 4, 5, 6} are two sets and function F: A to B is defined by f(x) = x+2, AA x in A , then prove that the function is one-one and into.

Consider all functions f:{1,2,3,4}rarr{1,2,3,4} which are one- one,onto and satisfy the following property: if f(k) is odd then f(k+1) is even,k=1,2,3 The number of such functions is

A function f: R rarr R is defined as follows: f(x) = {:{(x,ifxle1),(5,ifx>1):} which one of the following is true?

If A={3, 0, 1, 2} and f:A rarr B is an onto function defined by f(x)=3x-5, then B=

Consider the set A={1,2,3,4,5} , and B={1,4,9,16,25} and a function f:AtoB defined by f(1)=1 , f(2)=4 , f(3)=9 , f(4)=16 and f(5)=25 . Show that f is one-to-one.

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

If f:R rarr R be a function defined by f(x)=4x^(3)-7. show that F is one - one mapping.