Discrete Math: Let A = {1, 2, 3} and B = {a, b}. (a) Find A × B.  (b) Write two relations from A to B.  (c) Write a function from B to A.  (d) Let R be the relation ≠ from A to A. Write R in set-roster notation.  (e) Is R a function from A to A? Explain why

Q: A. Identify the relation shoun by the diagram below. 1. B. Tell whether the relations below are…

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

Q: Find IR| where R is the relation on the set A = {1,2,-,100} given by R= {(a,b)| azb+30} Select one:…

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Q: a. Write a set of ordered pairs (x, y) that defines the relation. b. Write the domain of the…

A: As there are multiple sub parts, only first three are solved here.

Q: Determine whether each relation is a function: a. {(1, 6), (2, 6), (3, 8), (4, 9)}    b. {(6, 1),…

A: Let there be two sets X and Y. A relation from X to Y is said to be a function if each element of X…

Q: Determine whether each relation is a Function or NOT. Write your answer on the space provided in…

A: A relation is a function if every element of the domain is associated to a unique element of…

Q: (a) Let n and k be non-negative integers. Explain what the function pr(n) counts.

A: Since you have asked multiple questions, we will solve first one. If you want solved other question,…

Q: Is f(x) = ±√x, a function or a relation? Give reason/s to support your answer.

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Q: 1. State whether or not the following relations are functions. а. {(2,2), (4,4), (6,6)} b. {(5,3),…

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Q: Check whether X and Y are having any relation. If so, find the relation and estimate Y when x 20 12…

A: First we draw a scatter plot to check if some kind of relationship exists between X and y.  From…

Q: Write the relation that is the inverse of f as a set of the following ordered pairs {(16, 9.6), (22,…

A: Given set

Q: Which relation is not a function {(1,5), (2, 6), (3, 6), (4,7)} b. (4,7), (2, 1), (-3,6), (3,4)} a.

A: We have to solve

Q: Let A ={1,2,3,4}, B = {1,5,9,11,15,16} and f = {(1,5), (2,9), (3,1), (4,5), (2,11)}Are the following…

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Q: Define the relation R = {(a.b): a + b < ab} = A x B with A = {1,2,4} and B = {2,5,6). List all the…

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Q: Consider the function defined by {(-2, 4), (-1, 1), (1, 1), (2, 4)}. Reverse the components of each…

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Q: Determine whether the relation is a function or not. If the relation is a function, mark yes…

A: We need to check if one input has more than one output or not.

Q: An employee's salary is shown in the chart below for every year they have worked for a company.…

A: See the attachment

Q: of the following relations are functions? Select all that apply. {(1,– 4), (5,– 2), (-1,2), (– 1,…

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Q: Consider the following relation. VT -x- 6y = 5 Step 1 of 3: Rewrite the relation as a function of x.

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Q: An example of a relation that is not a function, but is odd is: O a) 3

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Q: Write a full soultion 1. Consider the following relation: {(-2,3), (1,0), (4, -1), (0, -3), (1,1)}…

A: The given function can be evaluated as follows:

Q: -7 3 11 →5

A: Given:      A function is a specific type of relation in which each input value has one and only one…

Q: Determine whether each relation is a function: a. {(1, 5), (2, 5), (3, 7), (4, 8)} b. {(5, 1), (5,…

A: Solution GIven   Let    A=(1,5),(2,5),(3,7),(4,8)B=(5,1),(5,2),(7,3),(8,4)to find the above relation…

Q: E] Find domains and ranges of the following relations? Write domains and ranges in interval…

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Q: Use the set of ordered pairs to determine whether the relation is a function.…

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Q: Determine whether this relation is function of (1, – 1), (–1, 1), (0, - 1), (0, 1)} O Yes. O No.

A: Here we have to determine the given relation is a function or not.  The given function is =1,-1,…

Q: determine if the relation defines y as a function of x

A: A relation is represented as set of ordered pairs a,b. Set of first coordinates of the ordered pairs…

Q: 1. Explain whether each relation is a function. a) b) c)

A: Where we have to check the given  relation is function or not

Q: Look at this set of ordered pairs: (13, 3) (19, 15) (15, 9) (10, 4) Is this relation a function? O a…

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Q: Determine whether the relation is a function. 1) {(-1,-2), (3, -3), (6, -9), (7, -2), (12, -4)} A)…

A: GIVEN: {(-1, -2), (3, -3), (6, -9), (7, -2), (12, -4)}

Q: Determine if the relation defines y as a function of x. b.) II. 4. a) I 2 X y

A: Yes both relation can be written y as a function of x

Q: ue: Write the relation as a set of ordered pairs. urre %223 ten y -5 ew The set of ordered pairs is…

A: The set of ordered pair is given by :

Q: Using the ordered pairs, create a relation containing three ordered pairs with a domain of {1, 6,…

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Q: 3. Let A = {w, x, y, z} and B = {a, b, c, d}. Let R= {(w, d), (x, a), (x, c), (z, b)} be a relation…

A: Use definition of function .

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: The graph shows the volume, V, of gasoline left in a car's tank after a distance travelled, d, in…

A: Topic - relation and functions

Q: Jen has collected information about the students in her class and the month they were born. Which of…

A: Given is collection of information about the students and corresponding their months they were born

Q: (a) Determine the domain and the range of the relation. (b) Explain why the domain obtained in part…

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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: Decide whether the following relation defines a function. {(5,3), (4,3), (5,2)} Is the set of…

A: The solution are next step

Q: Write a relation as a set of five ordered pairs. Then express the relation using a: a. Table b.…

A: Relation as a set of five ordered pairs can be written as  1,2,2,3,4,5,5,6,6,5 We can represent this…

Q: 27. Determine whether each relation represents a function. a) {(4,9).(7,21).(10,21)} b)…

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other…

Q: Identify represents a ONE TO ONE function or not? WRITE YOUR ANSWER IN THE whether each relation…

A: To determine whether a function is one to one function is to use the horizontal line test on the…

Q: A. Find the inverse of the relation. 1. {(7,8), (-2,8), (3, – 4), (8, – 8)} 2. {(0,1), (5,6), (–2, –…

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Q: (a) Write a set of ordered pairs (x, y) that defines the relation.

A: Let us denote Boise=B, Miami=M, Springfield=S, Bermimgham=Br and variable for them be x. Their…

Q: Is the relation a function? Input Output 9. 16 14 12 15- 11 19- 3 O Yes O No

A: We use the definition of the function to find the answer of the given question.

Q: Determine whether the relations are functions. YES NO {(1, 1), (2, 2), (3, 3), (4, 4)} {(1, 2), (3,…

A: We  will  find the solution.

Q: The table shows a relation. Input Output -1 -1 -2 -1 Which statement about the relation is correct?…

A: Function: one output for a particular input. Relation: more than one output for a particular input.…

Q: Determine whether each relation is a function: a. {(1, 2), (3, 4), (5, 6), (5, 8)}    b. {(1, 2),…

A: We need to Determine whether each relation is a function:a. {(1, 2), (3, 4), (5, 6), (5, 8)}    b.…