Consider functions f: {1,2,3,4)→ {a,b,c). a. How many functions are there? b. How many functions are injective? c. How many functions are surjective?

Q: 1. Which of the following is not a function when it comes to domain and rang a. D-apple, hanana,…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 0 1 2 У 17 13 9

A: Given Table x y 0 17 1 13 2 9 3 5 4 1 5 -3

Q: d) Is the composition of two one-one functions a one-to-one function? e) Is it true that P(A) ≤ A?

A: For part (d), the answer is YES.

Q: f)=2-2て, x<9 ax /

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Q: What kind of functions is the function shown in this figure? b) odd e) Neither odd nor even d) None…

A: Consider the provided graph, A function f(x) is even if the graph of f(x) is symmetric with respect…

Q: Does every one-to-one function has Select one: A. Both A and B B. same number of elements in…

A: In one to one function there is only one y value corresponds t the x value. The elements in the…

Q: Let A = {8,9, 10, 11}. Let f : A R be a function defined below. Which of the following functions is…

A: Given A= {8, 9,10,11} Function the one to one function?

Q: If 1(x) is a function that counts number of prime numbers, then find (38.4) A) 10 B) 11 C) 12 D) 14

A: In the given question we have to find the the value of π(38.4) but before the answer we know about…

Q: 3. What is the difference between a function and a relation? 4. If f is a total function, is the…

A: As you are posted multiple questions. According to bartleby guidelines we do only first question and…

Q: 4). t(x)= x + 2oSX ,[0, 2T]

A: We can use application of derivative in order to solve the given problem.

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: Consider functions f: {1,2,3} → {1, 2, 3, 4, 5, 6, 7}. a. How many functions are there total? b. How…

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Q: The function h is the reverse process of f. a. Fill in the following table to represent the…

A: NOTE: Refresh your page if you can't see any equations. . the function h subtracts 5 from each value…

Q: Let f lx):3x,9J=xland hlx): Ne Express each function below as a Composition of any twO of the above…

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Q: What is the domain of the following function?

A: Given f(x,y) =4-x2-y2 - ln(y-x) + sin(x)Let g(x,y) =4-x2-y2 h(x,y)= ln(y-x) and t(x)=sin(x)

Q: (2 points) Prove Prove that for all f: X Y and A, B C X, if f is one-to-one, then 4. f(A)n f(B) ≤…

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Q: Let a, b, c, d be numbers and f(x,y) be any function. Then . f(x, y) dxdy This statement is --- --…

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Q: Let A = {a, b, c, d} and f = { (a, 0), (c, 12), (d, 18), (b, 12) }. Is f a function from A to B ?…

A: Given, A = {a,b,c,d} f = {(a,0) , (c,12) , (d,18) , (b,12)}

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: Consider functions f: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} →→ > {a, b, c, d, e, f}. How many functions…

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Q: A. Describe the error in the following: a. 5 is a subset of N b. x>1 and x 1<4 c. Given the function…

A: A. a. ) 5 is not a subset of N, its an element of N. It should be written as {5} is a subset of N.…

Q: х+ 10 if 0 6 f(x) =

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Q: H3. Show that the convolution of class functions is a class function.

A: We have to show that,  The convolution of class functions is a class functions. Therefore,  by the…

Q: What is the domain of the following function: f (æ)=-3 Z+3 Z-5 %3D a. x # 5, –3 b. a > -3 c. All…

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Q: c) Let f: A B and g: B → C be surjective functions. Prove or disprove whether gof is surjective.

A: See the attachment

Q: Q1. (a) How many functions are there from a set with 3 elements to a set with 5 elements?

A: We find total number of functions from a set with 3 elements to a set with 5 elements.

Q: a. UW) = In(W) b. U/W) = w^3 C. U(W) = w13 d. U(W) = 3W. The utilily function, U(Wy= In(W), Implies…

A: (a) The utility function is defined as UW=lnW.

Q: and let B = {1,2,3,4}. Provide examples injective surjective injective but not surjective surjective…

A: A function  is said to be injective if , for . That means every distinct element of the domain is…

Q: Haw J Express the fallasing function by Cartesian equationst 3K34tane Seco

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Q: A number-theoretic function f is said to be multiplicative if f(m,n) = f(m)f(n): :Select one O For…

A: Introduction: When the domain of a function is the set of positive integers or more precisely the…