In Section 1.2 we showed that ordered pairs can be defined in terms of sets and we defined Cartesian products in terms of ordered pairs. In this section we introduced relations as subsets of Cartesian products. Thus we can now define functions in a way that depends only on the concept of set. Although this definition is not obviously related to the way we usually work with functions in mathematics, it is satisfying from a theoretical point of view, and computer scientists like it because it is particularly well suited for operating with functions on a computer. Definition A function F from a set A to a set B is a relation with domain A and co-domain B that satisfies the following two properties: 1. For every element x in A, there is an element y in B such that (x, y) E F. 2. For all elements x in A and y and z in B, if (x, y) EFand (x, z) E F, then y z.

Q: 13 In secondary school the word "relation" is used to describe a set of ordered pairs. In (a) and…

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Q: Corey graphed a relation that has a domain of (-3, -2, 0, 1, 4). Use the coordinate plane below to…

A: GivenDomain={-3,-2,0,1,4}To graph one of possible relation from  which corey graphed.

Q: Let R be the relation {(1,2), (1,3), (2,3), (2,4), (3,1)} and let S be the relation {(2,1), (3,1),…

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Q: For this item, select the answers from the drop-down menus. Consider the relation 5x - y = 12.…

A: We have to determine if the given equation is a function.

Q: Give the demain and range of the relation. 4) {(1,8), (-1, -8), (-7, -4), (6, 0)}

A: The given relation is  R= {(1,8),(-1,-8),(-7,-4),(6,0)}

Q: 50 40 30 20 10- 20 10 40 -30 20 30 -20 40 -50 17. Find the domain and range of the relation shown.…

A: Solve the following

Q: Does the relation {(-5, -3), (7,2), (3,8),(3, -8), (5, 10)} represent a function? Use the arrow…

A: Given: -5,-3,7,2,3,8,3,-8,5,10

Q: Think about the following relation: {(-1,2),(2,7)(-1,0),(6,7)} What is the domain of the relation? {…

A: Given: The relation: -1,2, 2,7, -1,0, 6,7.

Q: {(3, 2), (5, −1), (6, 7), (3, −8), (4, 2)}{(3, 2), (5, −1), (6, 7), (3, −8), (4, 2)} Which set of…

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Q: create a table of values (with 4-5 rows) for a non - linear relation. Explain how a classmate could…

A: We will consider a non linear relation. Then we will explain the reason.

Q: Refer to the relation below to answer the following questions. {(- 30, – 25),(– 15, – 10),(-…

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Q: 6. >1 -3• 1. 25 36 9.

A: Using definition of function we have

Q: Which is the inverse of the relation {(-2,5), (-1,3), (0,-1), (1,-3), (2,-5), (3,-7)}? O {(5.-2).…

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Q: Find the domain and range of the relation: {(0, 9.1), (10, 6.7), (20, 10.7), (30, 13.2), (42,…

A: Domain of the relation is the set of all first elements of the ordered pairs in the relation and…

Q: (8,5), (2,11), (2,14), (5,17), (8,14), (11,17), (14,14), (14,11), (8,5)}   How would you divide…

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Q: 2. For the relation {(-3,15), (-1, 5), (0, -5), (1, 15), (3, -1)}, (a) Is the relation a function?…

A: Given relation:- -3,15,-1,5,0,-5,1,15,3,-1