A relation in x and y is given. Determine if the relation defines y as a one-to-one function ofx. y -2.6 -1.6 12.91 6.4 8.64 5.4 -1.18 2.4 O The relation defines y as a one-to-one function of x. O The relation does not define y as a one-to-one function of x.

Q: Use the graph of f to find the following. 10 6 4- 2- 2 4 8 10 (a) The largest open interval on which…

A: As shown in the graph  (a) function f(x) is increasing in the interval  (0, 2) and (5, 9). Hence the…

Q: 1. Which of the following is not a function when it comes to domain and rang a. D-apple, hanana,…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Determine the following for the given relation R on the set { 1, 2, 3, 4, 5, 6 } defined by the rule…

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

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Q: Let A = {1,3} and B = {2,4, 6}. Define a relation R from A to B as follows: for all (r, y) E A × B…

A: The cross product of two sets A and B  is defined by the set A×B=x,y: x∈A , y∈B. First write all the…

Q: Let S={1,2,3} and T={-2,-1,0}. Define a relation R from S to T as follows: For all (x,y) in SxT,…

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Q: 3 Let A = {0, 1, 2,3} and B = (0,1, 2, 4, 5, 8, 9}. Define a relation R from A to B as follows: for…

A: A=0,1,2,3 and B=0,1,2,4,5,8,9A relation R from A to B,x,y∈R if and only if x+1=y2

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: 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: Given the table below, determine whether y is a function of z and if the function is one- to-one. 6.…

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Q: 1. Let A = {-3, –1,0, v3, 3} B = {-1,0,2, 4, 8, 9}. Define a relation R from A to B as follows: V(x,…

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Q: IF A = { 1,1,2,3,5} B = {2,4} A relation S from A to B such that (x, y) ∈ S means that x ≤ 3 and y…

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Q: 1. Which of the following relations is a function? {(0, 0), (0, 1), (0, 2)} {(0, 0), (1, 1), (2, 4)}…

A: A relation R : X→Y to be a function, every element  x∈X should be related to a unique y∈Y. That…

Q: 2. All of the following relations is a function EXCEPT ONE. O (6,7), (7.9). (6,11), (7,13)) O…

A: In the relation {(6,7),(7,9),(6,11),(7,13)} The 6 has images 7 and 11 as (6,7) and (6,11) are in the…

Q: Let A={2,4,6 } and B={1,3,5,}. which of the relations, R,S,and T defined below are functions from A…

A: We know that relation is said to be a function if every element in the domain have exactly one value…

Q: State whether the following rule defines y as a function of x or not. 0 1 - 2 -3 3 - 9 - 19 X y 3 -…

A: Given.

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: One of the following relations is a function from A to B : .a F={ (1,2),…

A: To choose: The option which denotes a function from A to B: - (a.) F=1,2,2,4,2,6, A=1,2,3, B=2,4,6…

Q: State whether the relation defines y as a function of x. {(2, 3), (4, 1), (4, 5)} A This set does…

A: We have to find out derivative

Q: Which of these relations are functions? Select all that apply. y 17 15 13 8. 11 10 19 -12 19 17 4…

A: (a) x y 17 15 13 3 8 11 10 19 -12 19 To check whether the above relation is a…

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 A = {2,4} and B = {1,3, 5}. Which one of the following relations, T, U,V, or W, from A to B is a…

A: Given below the detailed solution

Q: Which relation is a function ? O (1.0) (3.0) (11), (3,1). (1,3) 0 (1.1) (2.2), (3.3). (4.4), (5.8)…

A: A relation is a  function in which each input has only one output. For option 1. here for input 3 ,…

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

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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: 12. Define a relation A from R to R as follows: For all (x, y) e R×R, (x, y)e A means that x y a. Is…

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Q: 2. State whether or not each of the diagrams defines a function of A = {a, b, c} into B = x, y, z}.…

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Q: Select ALL that are true about the relation shown below.

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Q: 2) Let R= {(1,2), (3,4), (1,x)) in order to this relation NOT be a function x must be equal ? a) 1…

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Q: 11. ( a) b) ) Consider the relation on A Determine if the relation is refl Determine if the relation…

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Q: Which of the following is NOT a function from the set A = {0, 1, –1}to the set B = {1, 2, 3}? - O…

A: We have to check wheather it is function

Q: 1. The set of ordered pairs below defined y as a function of x. Which of the following is the output…

A: When (x, y) is a function then x is the input and y is the output.

Q: 1. Consider the following relations on the set A = {1,2, 3, 4, 5} . (a) R1 = {(1, 1), (1, 2), (3, 3)…

A: (a) Given: A={1, 2, 3, 4, 5}, and the relation defined on A is: R1=1,1,1,2,3,3,3,2 (i) to check if…

Q: A. On a bond paper, refer to the situation then answer the questions that follow: Let S = (a, b, c}…

A: A relation is said to be a function if for all elements in the input set there is exactly one…

Q: each case, determine whether or not f is a function from S to T. For those cases in which it is,…

A: We have to find

Q: Let A={1,2,3,4} and B={1,3,5} and define relation R from A to B as follows: For all (x,y) an element…

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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) |…

A:

Q: 14. Let X = {a, b, c} and Y = {1, 2, 3, 4}. Define a function F from X to Y by the arrow diagram %3D…

A: Let X=a,b,c and Y=1,2,3,4. Define a function F from X toY by the arrow diagram

Q: Select all of the following tables which represent y as a function of x. X Y Y X y X Y -3 -2 -3 -4…

A: Explained below

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: Let A C R" be a convex set. In Week 4, we have learned the following definition for quasi-concave…

A: Given that A⊆ ℝn is a convex set.  Consider the following definition for quasi-concave functions:…

Q: Fit 1: y = 6.5x+3 Fit 2: y = 4.5x+5 x y 4 35 11 68 14 102 19 130 26 171 32 200 37 230 42…

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Q: 1. Check whether or not the following diagram in Figure 1 def ines a function from A={a,b,c} into B=…

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Q: Given the table below, determine vhether y is a function of z and if the function is one-to-one. 6.…

A: Please refer the attached image for complete solution.

Q: 2. Let X, Y and Z be sets. A, B are subsets of X. f:X → Y is a function. Prove the given statement…

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Q: Let A 2, 4, 6 and B {1, 3,5}. Which of the relations R, S, and T defined below are functions from A…

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Q: If / is a function from |-3,6] to R, and /(x) - 3x, partition p=-3, 1,4,6) andÅ tags e= (0,2.5),…

A:

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

A: Given, Let B = { 1, 2, 3, 4 } and C = { 4, 6, 8, 10 }. Define a relation G from B x C as: For all…