Check whether functions in the following diagrams are onto :

1.	Check whether functions in the following diagrams are onto :
Answer» (i) Since, every element in B has pre-image in A, so f₁ is onto function. (ii) Since, element in B has pre-image of A. So f₂ is onto function. (iii) Since 3 ∈ B does not have pre-image A. So f₃ is not onto function. (iv) Since, 6 ∈ B does not have pre-image of A. So f₄ is not onto function.

Answer»

(i) Since, every element in B has pre-image in A, so f₁ is onto function.

(ii) Since, element in B has pre-image of A. So f₂ is onto function.

(iii) Since 3 ∈ B does not have pre-image A. So f₃ is not onto function.

(iv) Since, 6 ∈ B does not have pre-image of A. So f₄ is not onto function.

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