Set A Set B -1 7 -2 -3 5 9. 6 The mapping diagram above v a function since in where there

Q: For two sets A = {a, b, c}, B = {7,12, 13, 17, 30} fis a injective function from Ato B If f (a) =…

A:

Q: Let X {1,2, 3} and Y {3,4}. Define f : X → Y as follows: = f(2) = 3 and f(3) = 4. Draw an arrow…

A: We will draw the arrow diagram for function mapping from set A to set B.

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 f : A → B be a function. Show that the set P = {f ^b | b ∈ B} is a partition of A.

A:

Q: (b) Show that U W. (c) Show C[-1, 1] = U W directly. That is, any function f E C[-1,1] can be…

A:

Q: c) Let A = {x|x € S} and B = {x|x € Z;0 < x < 6}. S is set of vowel letters and Z is set of %3D…

A: Remark: A function from A to B is said to be bijection if f is both one-to-one and onto. Now f is…

Q: Let f: A → B be a function and C, D, E C B. If CCD then f(CUE) C f-1(DUE) f-(DUE) S f-'(CUE) O the…

A:

Q: Let A = {a, b, c}. Define the function f: p(A)→N, by f(X) = card(X), where p(A) be the power set of…

A: Given A = {1,2,3} then ρ(A) = {ϕ , {a} , {b} , {c} , {a,b} , {a,c} , {b,c} , {a,b,c}} Define f :…

Q: 1 2 7 12 3 3 3 15 3 4 7 1 9

A: Recall that a relation f (also called correspondence or rule) from a set of objects A to another set…

Q: Given that g(u)=2u+85+18 where g(u)=v, define a function rule for g^−1

A: Given function is gx=2u+85+18. Here g(u) = v. v=2u+85+18

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…

A:

Q: Let A = {-4, 0, 4} and B = {t, u, v, w}. Define a function F: A → B by the following arrow diagram:…

A:

Q: Let g : B → N × N where B C Z given by g(m) = (|m| + 2, |m| + 3). Choose all subsets B such that g…

A:

Q: Find the function :ス」 of Inuerse U-12 シ f() 13

A:

Q: If A = {{6,4}, 2, 8} and B = {x, {p,W, z}, 4, k} then find the following %3D a) |A| = b) |B| = c) |…

A: It is a set theoretic problem. So it can be solved using general set theory

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…

A:

Q: If U-f() where f is an arbitrary function and P-U,.Q-U, then which of the following relations is a…

A: Given that : U=fxy Calculating P: P=Ux=f'xy1y ----&gt;(1) Calculating Q: Q=Uy=f'xy.x.-1y2…

Q: 1. Classify each of the following representations as a function or a non-function. (a) (b) (c) y 3 y…

A:

Q: 1. State whether or not each diagram in the figure below defines a function from A = {a, b, c} into…

A:

Q: Let /: X→Y be a function, A, B C X and C, DCY. Show that: 3. If CSD then SF (D) 4. f¹(COD)=f-¹(C)…

A:

Q: Suppose that A(x) = B(x) R

A: Given,                A(x)=∫α(x)B(x)f(u)du                     ...(1)

Q: 8. Let A = {1,2} and B = {a, b, c}. For each of the following cases, decide whether the set…

A: The set A={1,2}, B=a,b,c &amp; f:A→B. a) 1,a,2,b b) 1,b,2,b c) 1,a,1,b,2,c

Q: A countour map is given for a function f. Use it to estimate fx (2,1) and fy (2,1).

A: Given,  A contour map is

Q: Let A = {1,-1,2, -2, 3, –3} and B = {1, 4, 9}. Consider the rule f(x) = x², where x € A. Draw the…

A:

Q: Let h(æ, y) = f(x)g(y) + (9(y))² and suppose that f(1) = 5, f'(1) = 3, g(2) = 8, g'(2) = 10. Then…

A: Given function is - h(x,y) = f(x) g(y) + g(y)2             ............................(1)We have to…

Q: Let A = {a, b, c, d, e}, B = {1, 2, 3, 4, 5} and let us consider the function f : A → B, f(a) = 3,…

A: Given that:  f : A → B, f(a) = 3, f(b) = 4, f(c) = 2, f(d) = 5, f(e) = 1.   Since, the images (i.e.…

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: the book is "First Course on Fuzzy Theory and Applications"

A: To show: The given function satisfies the condition

Q: Let the function ƒ : {1,2, 3,4, 5} {1,2,3, 4, 5} given by the following table. 1 2 3 4 5 f(x) | 4 1…

A:

Q: What would b the complement of shaded region? [CLO 3] O U- ((A N B) - C) O U- (ANBNC) ANBNC O (A N…

A:

Q: Let f:X Y is a function and let (B: it e A) be an indexed family of Subset of Y. Show that a)(Ua B)…

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

Q: 2. A function, f, is called ....if, whenever a + b, then f (a) + f (b). That is, for any two…

A: Here if a≠b then f(a)≠f(b) is equivalent as f(a)=f(b) then a=b

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

A:

Q: 1. This two part question asks you to determine whether a given map represents a function. stal La…

A:

Q: 11) Let X = {a, b, c} and Y = {u, v}. Which of the following arrow diagrams define functions from X…

A:

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

A:

Q: 1. This two part question asks you to determine whether a given map represents a function. 1.…

A:

Q: 1) Determine if the relation defines y as a one-to-one function of x. 23 zh-3+h 42 У 4 x + 39 +32 TH…

A: The relation in the given graph is,

Q: If f: A B is a function such that B = {f(x) :x € A}, then we call f "Alkong". %3D How many Alkongs…

A: We will solve the problem using the concept of surjective mapping

Q: Let the function f(z) have the property that f'(z) = z+5 If g(z) = f(z') find g'(z). %3D g'(z) =O

A: We have to find g'(x) .

Q: 3.4. 1. For a set A, let P be the set of all functions from A to the two-point set {0, 1}. Then |P|…

A: To prove that |P| = |2A| P be the set of all functions from A to the two-point set {0, 1}

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

A: 3rd option is correct

Q: Q2. Assume that f(x) is a mapping, A = {1,2, 3} and B = {2,3, 4} are sets such that f-1(A) = {a, b,…

A:

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

A:

Q: Let g be the function from the set {a, b, c} to itself such that g(a) = b, g(b) = c, and g(c) = a.…

A:

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

A:

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…

A:

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: The function is the relationship between x and y such that for each value of x a single output is…