SOLUTION: (a) For the following relations from the set A = {a, b, c} and the set B = {x, y, z} does the relation satisfy the definition of a function? If yes, state why it is a function and

Question 1183634: (a) For the following relations from the set A = {a, b, c} and the set B = {x, y, z} does the relation satisfy the definition of a function? If yes, state why it is a function and also give the domain, co-domain, and range. If not state which of the function definition conditions are violated. For each relation, you will be required to draw an arrow diagram

(i) The relation that is represented by the ordered pairs (a, x), (b, y).

(ii)The relation that is represented by the ordered pairs (a, y), (b, y), (c, z).

(iii)The relation that is represented by the ordered pairs (a, x), (b, y), (c, z), (a, z).

(b) We now introduce a third set C = {r, s, t)Let the functions f: A right arrow B be defined by the ordered pairs (a, y), (b, x), (c, y), and g: B right arrow C be defined by the ordered pairs (x, s), (y, t), (z, r).

(i) Compute the elements corresponding to the composite function g composite function f: A right arrow C and represent them in an arrow diagram (this will require more than one mapping in the diagram)

(ii)Find the ranges of f, g, and g composite function f.
Answer by Solver92311(821) (Show Source): You can put this solution on YOUR website!

(a) (i): Function because each element of the domain set maps to only one element of the range set. Domain = {a, b, c}. Codomain = {x, y, z}. Range = {x, y}

John

My calculator said it, I believe it, that settles it

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