A function f∶N→N is defined by f(x)=x^2+12. What is the type of function here?(a) bijective(b) surjective(c) injective(d) neither surjective nor injectiveThe question was posed to me in class test.My question is taken from Types of Functions topic in portion Relations and Functions of Mathematics – Class 12

A function f∶N→N is defined by f(x)=x^2+12. What is the type of fu

1.	A function f∶N→N is defined by f(x)=x^2+12. What is the type of function here?(a) bijective(b) surjective(c) injective(d) neither surjective nor injectiveThe question was posed to me in class test.My question is taken from Types of Functions topic in portion Relations and Functions of Mathematics – Class 12
Answer» The correct answer is (C) injective The EXPLANATION: The above FUNCTION is an injective or one-one function. Consider F(X1)=f(x2) ∴ x1^2+12=x2^2+12 ⇒x1=x2 Hence, it is an injective function.

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