A function f:R→R is defined by f(x)=5x^3-8. The type of function is _________________(a) one -one(b) onto(c) many-one(d) both one-one and ontoThe question was asked in unit test.This interesting question is from Types of Functions topic in chapter Relations and Functions of Mathematics – Class 12

A function f:R→R is defined by f(x)=5x^3-8. The type of function is

1.	A function f:R→R is defined by f(x)=5x^3-8. The type of function is _________________(a) one -one(b) onto(c) many-one(d) both one-one and ontoThe question was asked in unit test.This interesting question is from Types of Functions topic in chapter Relations and Functions of Mathematics – Class 12
Answer» Right answer is (C) MANY-one Easy EXPLANATION: The above is a many -one function. Consider F(X1)=f(x2) ∴5x1^3-8=5x2^3-8 5x1^3=5x2^3 ⇒x1 = ±x2. Hence, the function is many – one.

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