1a) Let A = {1, 6, 12}, B = {0, 2, 12}. The following are all relations from A to B, but which are functions? Explain why or why not? f1 = {(1, 2),(6, 0),(12, 12)} f2 = {(1, 0),(1, 2),(6, 12),(12, 0)} f3 = {(1, 12),(6, 0)} f4 = {(1, 0),(6, 0),(12, 2)}   (1b) Let X = {a, b, c, x, y, z} and Y = {1, 2, 3, 4, 5, 6, 7, 8, 9}. Define a function f : X → Y to be: f = {(a, 2),(b, 3),(c, 7),(x, 9),(y, 4),(z, 8)}. Define a function g : Y → X to be: g = {(1, b),(2, c),(3, b),(4, a),(5, z),(6, z),(7, b),(8, x),(9, y)}. Determine the following: 1. The range of f. 2. The range of g. Do we have Rng(f) a proper subset of Codom(f)? What about for g?

Q: Decide whether the relation defines a function. {(1, -4), (2, -3), (5, 6), (7, -7), (10, -6)} Not a…

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Q: f = {(-9, – 2), (-8, 5), (-6, 1), (- 3, 7), (–1, – 2),(0, – 10)} and g = {(-7,7), (-6, 6), (-5, 5),…

A: Given that, f = {(-9, -2), (-8, 5), (-6, 1), (-3, 7), (-1, -2), (0, -10)} g = {(-7, 7), (-6, 6),…

Q: What value of x makes the relation {(1,5), (x, 8), (-7,9)} a function?

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Q: If f(x) = x2, what is the ordered pair for x = 7 ? %3D O (7,21) O (7,49) O (7,9) O (7,14)

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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: The set A = {(-4, 4), (-3, 2), (-2, 1), (0, -1), (1, -3), (2, -5)} of ordered %3D pairs form a…

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Q: {(2,2),(2,5),(2,1),(2,7),(2, -1).(2, -4)} is a function. O True False

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Q: The set A = {(-4, 4), (-3, 2), (-2, 1), (0, -1), (1, -3), (2, -5)} of ordered pairs form a function.…

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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: Is the relation shown in the table below a function? (type in yes or no)…

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Q: Put a check mark ) on the relations that are functions. Put an X mark (X) on the relations that are…

A: To find the given relations are functions or not.

Q: {(0, 9), (3, 12), (-5, 10), (5, 10)}

A: Given that, The set is following, {(0, 9), (3, 12), (-5, 10), (5, 10)} We have to find that the…

Q: Determine which relation is NOT a function. {(-3, 4), (-0.5, 7), (2, 9), (5, 9.3)} • {(-2, 4), (0.5,…

A: topic - functions

Q: 4. True or False: The relation {(5, 2), (0,1), (5, –6), (-3, 12)} is a function. O true false

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Q: Find (f + g)(1). f = {(1, -2), (0, -1)} and g = {(5, 0), (1, -3), (2, -4), (-2,4)}

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Q: True or false: The relation below is a function. {(-2, 7), (3, –8), (1, 5), (–13, 7)}

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Q: Which of the following relations is not a function? O [(1,2),(3,4),(5,6),(7,8)] O…

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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: Which of the following set (or relation) represents a function: O{(4,1), (8,2), (13,2), (19,4) } O…

A: We have to determine which relation is a function.

Q: The relation,R={(2,1),(1,3),(3,2),(1,0)}, be definedR:{0,1,2,3}→{0,1,2,3}:(a) FindR−1, the inverse…

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Q: Domain: [-2,2) Range: (-5,4) 5.4] Is the relation a function?

A: We need to find out that the relation is a function or not.

Q: Let F ={ (-6,4),(-5,3),(4,-6),(3,-5),(1,5),(2,6),(-3,5),(-8,2),(6,4)} G=…

A: Given sets are  F ={ (-6,4),(-5,3),(4,-6),(3,-5),(1,5),(2,6),(-3,5),(-8,2),(6,4)}G=…

Q: Given f = {(-3, 40), (-2, 25), (-1, 14), (0, 7), (1, 4), (2, 5), (3, 7)} and g= {(1,4), (0, 5), (1,…

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Q: Which of the following relations is a function? { (3, 7), (3, 6), (5, 3) } O { (0, 4), (5, 6), (5,…

A: We know that all the functions are relation but all the relations are not function. We know each…

Q: Determine if the following relations describe a function. Justify your answer. a.) R₁ = {(-2,0),…

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Q: f={(-4,-7), (1,-4), (8,1)} and g={(-7,9), (1,8), (3,7)} find g of f

A: Given query is to find the composite function g of f

Q: Which sets of ordered pairs represent functions from A to B? (Select all that apply.) A = {a, b, c}…

A: Given, A = {a, b, c} and B = {12, 13, 14, 15}   {(a, 13), (c, 14), (c, 15)(b, 15)} {(13, a), (12,…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.