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4. The functions f : {o,b,c,d} > {(1, {3,1455} and g : {0,.I3Y,5'E} > {11,r,1:,y,z} are given by the following gure. (a) (h) (C) (d)

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4. The functions f : {o,b,c,d} > {(1, {3,1455} and g : {0,.I3"Y,5'E} > {11,r,1:,y,z} are given by the following gure. (a) (h) (C) (d) (e) (f (s) (h) (i) "What is the range of f? Is f one-to-one? Explain why or why not. Is f onto? Explain why or why not' Suppose you reverse the arrows for f. Explain why that does or does not give a function with domain {a,,-}-,6,5} and codomain {a,b,c,d}. What is the range of Q? Is 9 one-to-one? Explain why or why not. Is 9 onto? Explain why or why not. Suppose you reverse the arrows for g. Explain why that does or does not give a function with domain {-w, ::,-i , z} and codomain {as f3, 7', r5. 5}. Is the composition of functions with domain {11, b, e, d} and codomain {1a, 1-, y, z} called (f o g] or (90 f)? Explain which is correct and why the other does not make sense. Draw a figure similar to the one above for the correct composition from (i) that does not include the set {(1, 6,14 6,5 . What is the range of the correct composition from (i)? Is the correct composition from (i) one-to-one'? Explain why or why not. Is the correct composition from (i) onto'.' Explain why or why not

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