A relation set up a correspondence between sets, which is between the elements of the domain and those of the range. Which of the following correspondence is lare function(s)? I. one to one Il. one to many IIl. many to one O Il only I and Il only O I only O Il and III only

Q: In a relation, the set of outputs with respect to a rule is: * O piecewise. range. O domain. O…

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Q: Determine if the relation ? = {(f, g)|f(x) = g(x) for some x ∈ ℝ} on the set of all functions from ℝ…

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Q: Given set B as B = {0,1,2,3,4}. Suppose set A is the relation and defined as a. A = {(x, y) E Z | xy…

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Q: Examine each of the following relations given below and state in eachcase, giving reasons whether it…

A: (i) R = {(2,1),(3,1), (4,2)} For one value of x, we got one value of y So it is a function.…

Q: Which of the following set (or relation) represents a function: O {(1,1), (1,9), (3,15) } O { (1,1),…

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Q: 19. Which of the following statement/s is or are correct? A function is necessarily a relation. A…

A: To determine : Which of the following statement/s is or are correct? (i) A function is necessarily…

Q: 9-Determine whether the relation represents Y as a function of X. If so, list it’s domain and range

A: Given:-          Graph is given: To Calculate:- Whether the relation represent Y as a function…

Q: If F is a function and dom(F) is a set, then F is a set. Hint. Prove first that ran(F) is a set.

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Q: e) Does the equality |A U B| = |A| + |B| hold for every set A and B? f) Is it true that for any…

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Q: Suppose that the relation H is defined as fol H={(9, -5), (-5, 4), (2, 8), (2, 0)} Give the domain…

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Q: Determine whether the correspondence is a function. Domain Range U g f W e X y V Is this…

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Q: For each relation, declde whether or not It Is a function. Relation 1 Relation 2 Domaln Range Domaln…

A: A relation is said to be a function when there is a unique image for every preimage.

Q: Translate the following sentences into a mathematical symbol Let p, q and r denote the…

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Q: Let A = {0,1, 2}. Each of the statements below defines a relation R on A by (m,n) E R if the…

A: A relation between two sets is a set of ordered pairs x,y where x is an element from the first set…

Q: Suppose that the relation T is defined as follows. T={(-2, 4), (-2, -3). (6. 1)} %3D Give the domain…

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Q: Define each of the following:   A function that maps from a set with 3 itmes to a set with 3 items…

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Q: Question 22 The relation defined as ((2, 1). (4, 2). (6, 3), (8, 4), (10, 5). (12, 6), (14. 7)} is…

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Q: Use the given graph of f to find a number ô such that if |x - 1| < 8 then If(x) – 1| < 0.2 8 = 1.2 1…

A: We will use the defination of limit in order to solve the given problem.

Q: S = {(4,–4), (4, 4), (1, 4), (–5, –4)} relation is a function. If it is not, identify two ordered…

A: The solution is given below in the next step:

Q: Suppose that the relation S is defined as follows. S= {(0, -9), (-2, 8), (8, 2), (9, 9)} Give the…

A: NOTE: Refresh your page if you can't see any equations. . The domain is the set of all the values…

Q: In which of the relations represented by the tables below is the output a function of the input?…

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Q: Use the given graphs of f and g to evaluate g (f (5)). yA O 3 O 5 O 2 01 9

A: From the given graph f(5) = 4

Q: Let A = {2, 3, 4, 5} and B = {6, 8, 10}. A relation R is defined from A to B by a R b if a | b and…

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Q: The location of the letter F shows that F represents an object that is Нарру Bulls F in the happy…

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Q: (a) Let sets S = {A, B} × {1,2} and T = {A, B} x {1,2,3, 4, 5} . How many different one to one…

A: Given sets are  S=A,B×1,2T=A,B×1,2,3,4,5 To find the number of different one to one functions from S…

Q: 8. Which of the following represents a function? w. Y. Z. а. Y 9.This set of ordered pairs shows the…

A: 8) If any line parallel to y axis cuts the graph of the function at most once, then that graph is a…

Q: Let C = D = {-3, –2, – 1, 1, 2, 3} and define a relation S from C to D as follows: For every (х, у)…

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Q: 19. A relation sets up a correspondence between sets, which is between the elements of the domain…

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Q: Given functions f and g from a set X to a set Y, f = g if, and only if, _____.*

A: Given  functions f and g and f=g

Q: 5. Given a function f : A → B. Define the relation ƒ from P(A) to P(B) by f = {(X,Y) C P(A) × P(B) |…

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Q: Suppose that the relation S is defined as follows. S={(1,p), (3, m), (9, 9), (p, 0)} Give the domain…

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Q: Given a function f : A → B. Define the relation f from P(A) to P(B) by f = {(X,Y) C P(A) × P(B)|Y =…

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Q: What is the range of this relation? 1 1 4. 6. O 1.2. 4, 5) O {1,2, 4, 6) O (1.2, 4, 5, 6)} O (0. 1,…

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Q: Use the given graph of f to find a number ô such that if |x - 1| < 8 then If(x) – 1| < 0.2 1.2 1.…

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Q: Given the relation in the diagram determine x such that f(x) = -2 5- 3+ 1+ -5 -4 -3 -2 -11. 1 2 3 4…

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Q: Given a function f : A → B. Define the relation f from P(A) to P(B) by f = {(X,Y) E P(A) × P(B)|Y =…

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Q: Use the given graph of f to find a number ô such that if 0< |x - 3| < ô then f(x) – 2| < 0.5. 2.5…

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Q: In which of the relations represented by the tables below is the output a function of the input?…

A: Topic - functions A function can have same output for different input values but cannot have…

Q: Use the domain and range of each of the following relations to determine which is a function. O…

A: To find which of the following is a function -4, 3, -2, -1, -4, 8-4, 3, -2, -1, -7, 8-4, -2, -7,…

Q: 4. Let A be the set of citizens of the United States and let f be the function that assigns, to each…

A: Let A be the set of citizens of the United States. let ƒ be the function that assigns, to each…

Q: Let A = {a, b, c, d} and B = {1,2,3}. Determine whether the relation ffrom A to B is a function. if…

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Q: Suppose that the relation S is defined as follows. s= {(-6, – 3), (-9, 1), (1, – 1), (-6, 0)} Give…

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Q: 5. Given a function f : A → B. Define the relation ƒ from P(A) to P(B) by f = {(X,Y) C P(A) × P(B) |…

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Q: Let A = {4, 5, 6} and B = {6,7} and define a relation R from A to Bas: (x, y) E R means that x – y…

A: We have to perform the subtraction operation here on the 2 sets. If on subtraction every element of…

Q: Confused on how to start ?

A: We have to solve

Q: 1. For this question, use N as the universal set. Define f = {(X,Y) E P(N) × P(N) : XUY = N and XnY…

A: Given that N(set of Natural numbers) is a Universal set. Also, given is a relation from P(N) to…

Q: 1. For the following, each relation R is defined on the set A. Determine if R is a tree, root. a) A=…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: What is the correspondence of the following digraph?

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Q: If X = {-2,-1 ,0 ,1,2} and Y = {4 ,2 ,, } and R is a relation from X to Y where "a R b" means "b 2"…

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