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2. Functions
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Q1 of 215 Page 3

Which one of the following graphs represent a function?


(a) It have unique image therefore a function


(b) It have more than one image


More from this chapter

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23

Let A and B be two sets each with finite number of elements. Assume that there is an injective map from A to B and that there is an injective map from B to A. Prove that there is a bijection from A to B.

24

If f : A → A and g : A → A are two bijections, then prove that

(i) fog is an injection


(ii) fog is a surjection

2

Which one of the following graphs represent a one-one function?


3

If A = {1, 2, 3} and B = {a, b}, write total number of functions from A to B.

Questions · 215
2. Functions
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