1. Let f = {(1, 2), (3, 4), (2, 6), (5, 9}. a) Find the domain of f: {1, 2, 3, 4, 5} O {2, 4, 6, 9} O {1, 2, 3, 5} O {1, 2, 3, 4, 5, 6, 7, 8, 9} b) Find the range of f: O {1, 2, 3, 4, 5} O {2, 4, 6, 9} O {1, 2, 3, 5} {1, 2, 3, 4, 5, 6, 7, 8, 9} c) Is f a one-to-one function? Yes, f is one-to-one. No, f is not one-to-one.

Q: Let f (x, y) = 1 5+√x²+y²-1 Then range of f is:

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Q: 31. Let f(x) = [x²/3]. Find f(S) if a) S= (-2,-1, 0, 1, 2, 3). b) S = {0, 1, 2, 3, 4, 5). c) S = {1,…

A: The given function is, fx=⌊x2/3⌋. To Find: f(S) for the following set S, (a) S=-2,-1,0,1,2,3 (b)…

Q: 1. Let A = {a, b, c}, B = {1,2,3}, C = {x, y, z, w}, D = {4,5, 6}. Let the functions f : A → B, g :…

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Q: Given the function f:{1,2,3} → N defined by f = {(1,3), (2,5), (3,1)} Is f1-1 Is f onto What is the…

A: We know that one to one functions are functions that return a unique range for each element in their…

Q: 15. For the graph of the function f, 4 (-4, 3) . (4, 3) (-2, 1) -5 (-1,0) (2, 1) (1, 0) (0, – 1) 5 x…

A: NOTE: You have posted a question with multiple subparts, we have solved the first three subparts for…

Q: Hi, only parts c through h please! 15. Write the range of each function. (a) Let A = {2,3,4,5) and…

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Q: Determine if the following relations describe a function. Justify your answer. a) R1 = {(1,8), (2,…

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Q: X = {p, q, r, s} Y = {4, 5, 6, 7, 8} The function f: X → Y is defined as: f = {(s, 8), (r, 8), (q,…

A: We want to find elements in the range of function f.

Q: Use the function to find the image of v and the preimage of w. T(V₁, V₂) =(√² V₁. √2, - V2, V1 + V₂,…

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Q: Let A = {1,2,3}, Define the functions f: A → C and g: B → C by f(1) = 7, f(2) = 9, f(3) = 7, g(4) =…

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Q: Determine the range of f, if f: D → R, where f(x) = x². I. D = (-2,2) II. D = [-7,2] III. D = (-4,2]…

A: I. D = (-2,2) Here the variable x lies between -2 and 2, that is,…

Q: Let A, B, and C be the following sets A = {1,2,3,4}, B = {x,y,z}, C = {a,b,y,d,e}. Let ƒ: A → B and…

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Q: Two sets A and B are defined as follows: A = {x, y, z); B = {1, 2, 3}. Ug Oh f range of g range of h…

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Q: X = {p, q, r, s} Y = {4, 5, 6, 7, 8} The function f: X→ Y is defined as: f = {(r, 7), (s, 8), (p,…

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Q: Supposer is an invertible function with domain [1, 5] and range [2,7]. Then the domain of r−¹(x − 1)…

A: Given that r is an invertible function with domain [1,5] and range [2,7].It means that for every…

Q: Say whether the following function is injective, surjective, bijective, or none of the above (note:…

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Q: If f is a function from [-2,6] to R, and f(x) = 3x, partition p = {-2,3,4, 6} and tags e = {0, 4,…

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Q: {h,p,t, v, w}, and 7, 10, 12, 15, 16, 21, 24, 29, 30}. 21), (р, 29), (t, 24), (v, 24), (w, 10)} de n…

A: We have to complete the given statement according to the given information

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: Evaluate Sr. (0, 2- z2).d along each of the following paths: (a) the line from (1,-1) to (1, 1), 固助…

A: Integration

Q: For what value of "a" will this relation NOT be a function? {(а, 3), (7, — 2), (3, 7), (2 — 8), (-…

A: The definition of the function is: Suppose y=fx is a function, then for each value of x has a unique…

Q: Find all relations from S= {1,2} to T = {4,5} Find all functions from R = {2,3} to S = {4,5}.

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Q: Let f:R R be a function given by f(x)=x+1. The value of f[10,37]will be: Pick ONE option [3,6]…

A: Given function is: fx=x2+1 f3=32+1=9+1=10f-3=-32+1=9+1=10f6=62+1=36+1=37f-6=-62+36+1=37

Q: -14-12-10 8 6 4 A. Domain: B. Range: F. Find x when f(x) = 0: G. Find f(-6)

A: This is the graph of a function f(x).

Q: 7. Compute gfg, the conjugate pair of f by g for f= (2, 3, 5, 4) and g = (1, 3, 2)(4, 5).

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Q: Let X = { n Î Z | 1 £ n £6 } and consider the two functions f : X ® X , g : X ® X , expressed in…

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Q: 1. Use the figure below to answer the questions, 15 10- -3 -2 -1 1 2 a) What is f(2)? b) Find x so…

A: Authoring guidelines***…

Q: Let A={1, 2, 3, 4, 5} and B={a, e, i, o, u}. If ƒ: B → A is a function defined by f ={(a, 4), (u,…

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Q: 8] ƒ = {(10,7), (-2,4), (5,3), (4,10)} 9] Domain: Range: ƒ(10) = Domain: Range: f(-1) = XY -3 3 -1 1…

A: Domain : Input values of a function Range: Output values of a function if (x,y) ∈Rthen all the…

Q: The figure defines a function f from A={r, s, t, u} into B={a, b, c, d} in the obvious way. Which of…

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Q: Given the function f , g and h, all with source and target {1, 2, 3, 4}, defined as follows: f…

A: 1. g(2)= 3 2. f (f (4))= 1 3. g (h(4))= not defined.

Q: Determine the domain and range of the function f: {r,s,t,u} ➔ {A,B,C,D,E} defined by f(r) = A, f(s)…

A: Domain of a function is the set of possible values of independent variable. The domain of given…