Question in the image: Question 4. Let X = {o,0,A, O} and Y = {a, b, c, d, e}. Determine whether each of the followingrepresent functions. Explain. If the relation is a function, determine the domain, codomain, andrange.(a) f : X →Y defined via f = {(0, a), (0, b), (A, c), (O, d)}.(b) g : X → Y defined via g ={(o, a), (D, b), (A, c), (O, c)}.(c) h: X → Y defined via h = {(, a), (D, b), (A, c), (0, d)}.(d) k : X → Y defined via k = {(0, a), (0, b), (A, c), (O, d), (O, e)}.(e) l: X → Y defined via l = {(0, e), (O, e), (A, e), (O, e)}.(f) т: X — Y defined via т —{(o, a), (A, b), (O, c)}.(g) happy : Y → X defined via happy(y)= © for all y E Y.(h) id : X → X defined via id(x) = x for all x € X.One useful representation of functions on finite sets is via bubble diagrams (like in Figure12.3 of the textbook). To draw a bubble diagram for a function f : X → Y, draw one circle (i.e,a “bubble") for each of X and Y and for each element of each set, put a dot in the correspondingset. Typically, we draw X on the left and Y on the right. Next, draw an arrow from x e X toУEY if f(*) — у (i.е., (х, у) € f).

Name: Question in the image: Question 4. Let X = {o,0,A, O} and Y = {a, b, c
Uploaded: 2024-03-20T07:07:37.000Z
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Description: Question in the image: Question 4. Let X = {o,0,A, O} and Y = {a, b, c, d, e}. Determine whether each of the followingrepresent functions. Explain. If the relation is a function, determine the domain, codomain, andrange.(a) f : X →Y defined via f = {