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The following figure represents which type of function?

(a) one-one

(b) onto

(c) many-one

(d) neither one-one nor onto

I had been asked this question by my college professor while I was bunking the class.

My query is from Types of Functions topic in section Relations and Functions of Mathematics – Class 12

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Right answer is (b) onto

The best explanation: The above function is onto or surjective. A function f:X→Y is said to be surjective or onto if, every element of Y is the image of some elements in X.

The condition for a surjective function is for every y∈Y, there is an element in X such that f(x)=y.

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