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

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Correct answer: A. 1 only

f(x)=x+1 f(x)=x+1 is defined for all x R . Hence, f(x)=x+1 is one-one and onto.

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

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