Which of the following statement(s) is(are) correct ? A) If `f` is a one-one mapping from set A to A, then f is onto.

Let N be the set of natural numbers and f : N->N be a function given by f(x)=x+1 for x in N.Which one of the following is correct? a. f is one-one and onto b. f is one-one but not onto c. f is only onto d. f is neither one-one nor onto

The function f : R rarrR is defined as f( x) = 3^(-x) . From the following statements, I. f is one-one II. f is onto III. f is a decreasing function the true statements are

The function f : R rarrR is defined as f( x) = 3^(-x) . From the following statements, I. f is one-one II. f is onto III. f is a decreasing function the true statements are

The function f:R rarrR is defined by f(x)=3^(-x) . Observe the following statements I. f is one - one II. f is onto III. F is a decreasing function Out of these, true statements are :

Let f: A to B and g: B to C be two functions. Then; if gof is onto then g is onto; if gof is one one then f is one-one and if gof is onto and g is one one then f is onto and if gof is one one and f is onto then g is one one.

Let f: A to B and g: B to C be two functions. Then; if gof is onto then g is onto; if gof is one one then f is one-one and if gof is onto and g is one one then f is onto and if gof is one one and f is onto then g is one one.

Let f:A rarr B and g:B rarr C be two functions.Then; if gof is onto then g is onto; if gof is one one then f is one-one and if gof is onto and g is one one then f is onto and if gof is one one and f is onto then g is one one.

Let A be a finite set. If f: A->A is a one-one function, show that f is onto also.

Consider the following statements : 1. A function f:Z to Z , defined by f(x) = x+1 , is one-one as well as onto. 2. A function f:N to N , defined by f(x) = x +1 , is one-one but not onto. Which of the above statements is/are correct?