2. Let f be a function from the set {a, b, c, d] to the set {0, 4,-1,8} defined as f(a) = 4, f(c) = 0,f(b) = 8. Determine the following: al Domain c) Range d) Image of 3 i) j) k) Isf one-one? Is f on-to? Is f one-one corresponding, if so, find the inverse?

Q: is the relation defined by the table a function of x

A: If each input value leads to only one output value, classify the relationship as a function. If any…

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A:

Q: Let A = {1, 3, 5, 6, 7, 9, 10, 12} and B = {1, 2, 3, 5, 7, 8, 9, 11, 12}. Consider the following…

A: Given a function f: A -> B , we have to determine whether it is injection, surjection,…

Q: consider set a and b with |A| = 9 and |A| = 20 a. how many functions f : A -> B are there b. how…

A: Given set A and set B with A=9 and B=20 (a) We have to find the number of functions f:A→B. The…

Q: Given a relation g from the set D = {1, 2, 3, 4, 5} to the set C = {a, b, c, d}, where g = {(1, a),…

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Q: 3. Let A be a finite set. In this exertise functions f, g will be of type g: A → A and ƒ: A → A. (a)…

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Q: ? ? ? Hint: ✰✰✰✰✰✰✰.. 5. {(b, 6), (h, 2), (0, 6), (r, 4), (s, 27)} 6. {(b, 2), (h, 27), (0, 4), (r,…

A: For the given set , does it define function f:X-->Y .

Q: Let f : A →B and g : B →C denote functions, and assume g ◦f is injective. a. Prove or disprove: The…

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Q: Let f: A -> B and g: B -> C be two functions. Prove: if f and g are surjective, then gof is…

A: Given: Let  f: A→B and g: B→C be two functions.  If f and g are Surjective(onto), To Prove:  g∘f:…

Q: Suppose that f : A → B and g : B → C are both injective functions, prove that the function go f : A…

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Q: 3. Let A = {1, 2, 3, 4}. Let F be the set of all functions from A to A. (a) How many pairs (f, g) E…

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Q: Given the following graphs of f and g, find (f o g)(-3). f -7 -2 -4 -6 2.

A: To find (fog)(-3) first we find g(-3)

Q: Let A = {d, e, f} and B = {0, 1} Define a relation as follows: ARB = {(d, 1), (f,0)} Select the…

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Q: If f is a function having as its domain and range the set N of natural numbers, then f is bijective.

A: For the solution follow the next step.

Q: Use two of the following sets for each part below. Let X = {a,b,c}, Y = {1, 2, 3, 4} and Z = {s, t,…

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Q: Let f: A → B be a function, and let C be any set such that BCC. True or False: f : A → C is always a…

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Q: Given a relation g from the set D = {1, 2, 3, 4} to the set C = {a, b, c, d} where g= {(1, a), (2,…

A: A relation  from the set  to the set  where .The objective is to determine whether the relation is a…

Q: --to-one o? [ Se

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Q: Consider the set N²= NX N, the set of all ordered pairs (a, b) where a and b are natural numbers.…

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Q: Is this function:  a) both even and odd b) even c) neither even and odd d) odd

A: Simply if f(x)=f(-x) then function is even Now is f(x)+f(-x)=0 then its an odd function

Q: let A = { 1, 2, 3, 4, 5} and B = { a, b, c, d, e, f}. in each case, give an example of a function f…

A: