A function f is a rule that assigns to each element x in a set A exactly. the following tables defines y as a function of x? element(s) called f(x) in a set B. Which of (i) (ii) y y 5 5 7 7 6 2 6 4 8 3 8 -234

Q: Let A = {10, 11, 12, 13}. Let f: A R be a function defined below. Which of the following functions…

A:

Q: f(x,y)=x+y f(x,y)=x-y

A: Solution Given f(x,y)=x+yf(x,y)=x-y we need to draw the following function

Q: Let f be a function from the set A to B. Let S and T be subsets of A. Show that f-1(S intersection…

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Q: The domain of a function f of the two variables x and y is a subset of R. .A false .B true

A: Answer

Q: Let A = {6,7,8, 9}. Let ƒ : A → R be a function defined below. Which of the following functions is a…

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Q: Let A={1,2,3,4} How many injective functions f: A→A

A: Injective function or one-one function:- Let f:A→B such that different element of Ahave different…

Q: Given the table for the function, h(x), what is the domain for h=1(x)? h(x) 1 3 2 3 4 12 O {1, 2, 3,…

A: In case of inverse function just interchange the domain and range.

Q: Let f be a function with the following known values f( – 1) = 1, f(0) = – 4, and f(3) = 5. %3D Let g…

A:

Q: Let A = {1, 2, 3, 4, 5}, and define a function F: P → Z as follows. For each set of X in P(A), ļo if…

A: To solve this problem first we check that  the set X contains how many element If it contains even…

Q: 1. Which of the following relations is a function? {(0, 0), (0, 1), (0, 2)} {(0, 0), (1, 1), (2, 4)}…

A: A relation R : X→Y to be a function, every element  x∈X should be related to a unique y∈Y. That…

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: Which table does NOT represent a function? A. В. f(x) f(x) 0. 1 -3 9. 3 -2 4 4. -1 1 0. 6. 1 1 7 4…

A: D is the right option. For A option,  f(x) = x+1 For B option f(x) =x2 For C option  f(x)  = 3

Q: State whether the following rule defines y as a function of x or not. 0 1 - 2 -3 3 - 9 - 19 X y 3 -…

A: Given.

Q: Let f be the function defined by f(x) = 2x−3 and let g be the function defined by the ordered pairs…

A: Let's find.

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 ---->(1) Calculating Q: Q=Uy=f'xy.x.-1y2…

Q: A function f is a rule that assigns to each element x in a set Aexactly element(s) called f1x2 in a…

A: The definition of the function is: A function f is a rule that assigns to each element x in a set A…

Q: A. Which of the following tables represent valid functions? f(x) f(x) f(x) f(x) -3 -1 -5 -1 -3 -1 1…

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Q: Function g:R → R, defined by g(x) =x*+5 is a one-to-one function. True False

A: (7) To check if g:R→R defined by gx=x4+5 is one-to-one function.

Q: If y is a function of x, which of the following cannot be true? When x 3 and x 7, then y = 2. When x…

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Q: State whether the relation defines y as a function of x. {(2, 3), (4, 1), (4, 5)} A This set does…

A: We have to find out derivative

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 & f:A→B. a) 1,a,2,b b) 1,b,2,b c) 1,a,1,b,2,c

Q: A relation in x and y is given. Determine if the relation defines y as a one-to-one function ofx. y…

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Q: Which of the following relations are functions? i. The following set of ordered pairs associates…

A: A relation is a function, if every element of domain is associated to unique element of codomain In…

Q: The function h(x) =x +5 maps the domain given by the set {-2, -1,0, 1, 2} . Which of the following…

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Q: A contour map for a function f is shown. 24 7- 18 12 30 5 -4 -3 -2 2 3 40: Use the contour map to…

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Q: Which of the following defines a function on a given domain? a. f(x)= ; domain = {1,2, -3, -6} X x +…

A: The objective is to determine the function from the given options. f(x) will be a function if it is…

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: Let A = {6,7,8,9}. Let ƒ : A → R be a function defined below. Which of the following functions is a…

A:

Q: Assume that the domain of f is the set A = {–5, –2, 0, 2, 3}. Determine the set of ordered pairs…

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Q: A function f(x) is given by the following set of ordered pairs: {(2,6), (4, 12), (5, 15), (9, 27)}.…

A: The function is represented by the ordered pairs 2, 6, 4, 12, 5, 15, 9, 27. (a) Express fx using…

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…

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Q: If f is a function from X to Y and A, B are subsets of X then .A f(A – B) = f(A) – f(B) .B f(AUB) =…

A: Given: f:X→Y and a,b⊆X, Find out: To choose the correct option.

Q: - A function f is a rule that assigns to each element x in a set A exаctly the following tables…

A: We know, A function is a rule that assigns  to each input value a unique output value.  Hence, A…

Q: If the following arrow diagram defines a function f, then the pre-image of 4 is A B f. A +B 1 3 9 4…

A: Given ,  This arrow diagram defines a function f , then  We have to find the pre - image of 4

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: 1. The set of ordered pairs below defined y as a function of x. Which of the following is the output…

A: When (x, y) is a function then x is the input and y is the output.

Q: Given f = {(a,b),(b,a),(c,b)}, a function from X = {a,b,c} to X. (a) Write f o f and f o f o f as…

A: The solution is given below:

Q: Function g: R → R, defined by g(x) = x* +5 is a one-to-one function. True False

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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: The function f (x) is defined below. What is the end behavior of f (x)? f (x) = 763x? – 7x° – 9800 +…

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Q: Find f', f'', f'"' and f (4) for the function. f(x) = x* – a³ – 9x- f' (æ) = Preview f''(x) =…

A: We have to find

Q: Function f is defined as follows: f(x) = { (x−2)² +3, x+1 30 2 " 0≤x≤3 3 5

A: This is a problem of real-valued function and Integration of area and inequality.

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: 14. Let X = {a, b, c} and Y = {1, 2, 3, 4}. Define a function F from X to Y by the arrow diagram %3D…

A: Let X=a,b,c and Y=1,2,3,4. Define a function F from X toY by the arrow diagram

Q: 5 Let f(x) x5 and g(x) x. Simplify or evaluate the function g(f(u)

A: Given equation are,

Q: Prove that if a function f is one-to-one, then f[A ∩ B] = f[A] ∩ f[B].

A:

Q: Select all properties corresponding to the following function given as a set of ordered pairs: f =…

A: topic - functions

Q: Let f be a function that maps Xinto Y (f:X → Y ). Let {Gα| α ∈ A} be an indexed family of subsets of…

A: The inverse image (or preimage) of a given subset of the codomain of is the set of all elements of…

Q: 100 1.0 -1 -1

A: Please rate and feel free to ask any query about any part of the question. Thanks