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Any help on the question will receive two thumbs up from me. :) i) Let S = {1,2,

ID: 3196159 • Letter: A

Question

Any help on the question will receive two thumbs up from me. :)

i) Let S = {1,2,3,4,5} and T = {6,7,8,9). Let f: S T where f is defined by {(1,9), (2,6), (3,7), (4,7), (1,6)}.

          a. What is the domain?__   ______________________________

          b. What is the range?___________________________________

          c. What is the codomain?________________________________

          d. What is the image of 2?_______________________________

          e. What are the preimages of 7?___________________________

          f. Is this a one-to-one function?____________________________

          g. Is this an onto function?________________________________

         

.

ii) For the following binary relation on N, underline the ordered pairs that belong to .   x y x = 2y + 1: (1,3), (3,1), (5,11), (2,9), (9,2), (11,5)

Explanation / Answer

i)

a) S = {1,2,3,4,5}

b){6,7,9}

c) {6,7,8,9}

d)6

e){3,4}

f) No ( it is not a function )

g) No

ii)(3,1) and (11,5)

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