Course Solutions Uncategorized (Solved) : Following Functions R R Injective Surjective Bijective 1 Xx2 2 Xx3 3 Sine 4 X X 5 X X3 X2 Q31249683 . . . .

(Solved) : Following Functions R R Injective Surjective Bijective 1 Xx2 2 Xx3 3 Sine 4 X X 5 X X3 X2 Q31249683 . . . .

 

Of the following functions from R toR, which are injective? which are surjective?Which are bijective?

1. λx.x2

2. λx.x3

3. sine

4. λx. |x|

5. λx.(x3 – x2)

6. λx. ex

In each case, tell whether there is an injection from Ato B, whether there is a surjection from A toB, and whether there is a bijection from A toB.

7. A = {10,20,30}, B = {8, 9, 10, 11, 12}

8. A = {10, 73}, B = {9,109}

9. A = {12, 8, 7, 6}, B = {4, 3, 2}

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