RELATIONS AND FUNCTIONS Classwork: Let A =(2,3,4) and B =(6,8,10} and define a relation R from A to B as follows: For every (r y EA x B,(x y )ER me ans t ha t y lx Is an integer. Is 4R6? Is 4R8? Is (3,8) ER ? Is (2,10) ER b. Write R as a set of ordered pairs. c. Draw an arrow diagram for R.

Q: (2 1). If Let vi = 1 2 2 is ,V3 V4 3 a dependence relation on (v1, v2, V3, V4) thenx = a) 17 b) 15…

A: Here, we have v1=111, v2=123, v3=321, v4=210. If xy-1-3 is a dependence relation on v1, v2, v3, v4,…

Q: Given the 5 relations below, select all that are not function. Remark: If A is a set, then A is…

A: Given data:- R= x,y : x ∈ ℤ ∧ y ∈ ℤ ∧ y2 = x .R= x,y : x ∈ Pℤ ∧ y ∈ ℤ ∧ y ∈ x .R= x,y : x ∈ Pℤ ∧ y ∈…

Q: Find the domain and range of the relation given to the right. 14- Find the domain of the relation.…

A: our objective is to find the domain

Q: nd the domain and range of the relation. nd the domain of the relation. Select the correct choice…

A: To find: The domain and range of the function. Given information: The graph is parabola. Definition:…

Q: Q6; Relations (a) Define relations S and R as follows: S = {(a,b), (b, c), (c, d), (b, b)}, R = {(b,…

A: Solution is in next step

Q: Let R= {(x,y)|x e R#, y € R#,y > x² R = {(x, y)|x € R#,y € R#,y<x+ 2} Note that R and R' are both…

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Q: Let fi = 1+* + x?, f2 = 3+ 2x +a?, fs = 1+ 2x +- 3x?, f4 = 1+3x +5 1 -1 is a dependence relation on…

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Q: (a) Define relations S and R on the set A = {a,b, c, d} as follows: S = {(a, b), (b, c), (c, d), (b,…

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Q: S and T are relations on the real numbers and are defined as follows: S = {(x, y)| x y} %3D What is…

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Q: Find the domain of the relation. Select the correct choice below and fill in the answer box to…

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Q: The function f: X → Y is given. We define the relation R on the set X by the formula (x R y) ⇔ (f…

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Q: Let A = {0, 1, 2} and B = {1, 2, 3}. If an element x in A is related to an element y in B iff x = y…

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Q: = {0 ,1} and define a relation R from A to B as follows : Given any {x y} є Y X Z. (x, y) є R means…

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Q: Let A — {1, 2, 3, 4} and B — {5, 6, 7}, and let f be the relation f = {(1, 5), (2, 5), (3, 6), y)}.…

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Q: Let A = { 1, 2, 3, 4 } and B = { 4, 6, 8, 10 }. Define a relation H from A x B as: For all (x, y) ∈…

A: given sets  A= 1 , 2 , 3 , 4B=4 , 6 , 8 , 10relation  H =x,y∈ A×B : x+1=y2

Q: 1. Let A = {blue, yellow, red}, B = of the relations below (a) determine if it is a function (b) if…

A: R1: D X B={(cat,blue),(cat,red)} So, {(cat,blue)} ⊂{(cat,blue),(cat,red)} Therefore R1 is a…

Q: Find the domain and range of the relation given to the right. 14- Find the domain of the relation.…

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Q: 9- 6- 3- 12 -12-9 -6 -3 -3 9. 6. -어 Find the domain of the relation. Select the correct choice below…

A: This is a relation given and we need to find the domain as well as the range. DOMAIN: The set of…

Q: 5. The domain of a relation is all even negative integers greater than -9. The range y of the…

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Q: You can choose multiple op tions if necessary. Which of the following relation/s is/are FUNCTION/S?…

A: A function is a relation which describes that there should be only one output for each input (or) we…

Q: 2 = y. Select the description that accurately describes The domain of a relation R is the set of…

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Q: A = {5,6} B = {5, 7 ,8} S = {n | n >= 3 is an odd integer} A relation R from AxB to S is defined…

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Q: 10- Find the domain of the relation. Select the correct choice below and fill in the answer box to…

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Q: A relation R is defined on the A={1,2,3...9.10}  as follows: xRy means "3x- 2y=1"   List the…

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Q: a. Which is not true with the descriptions of a function? I. A function is also a relation. II. A…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Let A = {1,-1,2, -2, 3, –3} and B = {1, 4, 9}. Consider the rule f(x) = x², where x € A. Draw the…

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Q: Ris a relation from A= {2,3,4} to A. The graph of the relation R is given by G = {(2,4), (4, 3), (3,…

A: Option A is correct.

Q: A relation in x and y is given. Determine if the relation defines y as a one-to-one function ofx. y…

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Q: Find the domain and range of the relation. Find the domain of the relation. Select the correct…

A: To find: The domain and range of the function. Given information: The graph is parabola. Definition:…

Q: at is the domain of the relation below? All real numbers greater than or equal to 0. All real…

A: The domain of a function f(x) is the set of all values for which the function is defined, and the…

Q: 14- 12- 10- 6- 4- 2- 8 10 12 14 Find the domain of the relation. Select the correct choice below and…

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Q: ine the domain and range for the relation. R = x is the son of y

A: solution:-

Q: Find the domain and range of the relation given to the right. 14- Find the domain of the relation.…

A: From the given graph we have to find the domain and range of the relation.

Q: If A = [[6,4), 2,8) and B = (x, (p. W, z). 4, k) then find the following a) A= b) B= c) | AxB | = d)…

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Q: Find the domain and range of the relation. Ay 10- Find the domain of the relation. Select the…

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Q: Determine whether the relation is a function. Give the domain and the range for the relation.…

A: Given Data: Relation: ​{(1​,1​),(6​,6​),(8​,8​)}   Here, in relation, each domain maps to its…

Q: Find the domain and range of the relation given to the right. Ay Find the domain of the relation.…

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Q: a) Use the notation (x : P(x)} , where P(x) is a propositional function, describe each for the…

A: Since, there are multiple questions. But according to guidelines we will solve the first question…

Q: Define a relation Ton the set of real numbers as follows: Vx, y ≤R, x Ty ⇒xy < 0 The relation is not…

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Q: Find the domain and range of the relation. Find the domain of the relation. Select the correct…

A: According to the given graph x only take single value that is 7.

Q: 3. Let A = {a, b, c, d}, B = {c, d, e}, and C = {f,9,h, i}. (a) How many functions are there froIm A…

A: The given sets are: A=a, b, c, dB=c, d, eC=f, g, h, i

Q: 6. Q6; Relations (a) Define relations S and R on the set A = {a, b, c, d} as follows: S = {(a, b),…

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Q: d the domain and range of the relation given to the right. d the domain of the relation. Select the…

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Q: 7. Which of the following relations are true if x(t) is real? a) X(f)=X(-f) b) X(f)=-X(-f) c)…

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Q: Find the domain and range of the relation. 12- Find the domain of the relation. Select the correct…

A: Consider the graph of a relation. The objective of the problem is to find the domain and range of…

Q: (i) The functions f and gof are defined by g:x - x+5,x ER, gof : find f and show that f is…

A: Definition of injective function : Suppose and then f is one-one/injective function if and only if…

Q: Find the domain and the range of the relation Ay 6- ..... Find the domain of the relation. Select…

A: The value of x in the graph is the is the domain of graph And the value of of y in the graph is the…

Q: f(1) = 4 ; f(2) =-1; f(3)=-3 Relation: f(n+1) = 5 [f(n)]-2 f(n-1) Given: c. f(5) D. f(-1)

A: Given that f1=4, f2=-1 ,f3=-3Relation : fn+1=5fn2-2fn-1Solution :put…

Q: Let A = {1, 2} and B = {-1,0, 1}. Answer the following questions using careful, accurate notation…

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