8. R= {-9, -6, -3, -1, 0, 1, 3, 6, 9}, f'is a function from R to the set of whole numbers as defined in the following table: -9 18 -6 12 -3 -1 3 6. 6 12 9. 18 What is the domain of f?

Q: х — 1 is 5 - The range of f(x) = O (-∞, –5) U (-5, ∞) O (-∞, 5) U (5, ∞0) O (-∞, ∞0) O (-∞, 1) U (1,…

A:

Q: 10. (a) Let f: X→Y and g: Y→ Z be functions. Show that go f: X→ Z is a function too. (b) If f: X→Y…

A: (a.) Let f:X→Y and g:Y→Z be functions. To show: g∘f:X→Z is a function. (b.) Let f:X→Y and g:Y→Z be…

Q: 3) Verify Rolle's Theorem for the function f(x) = [-4, 4]. Justify your answer. 5x + 6 defined over…

A:

Q: 3)Verify Rolle's Theorem for the function f(x) = 2x2 + 4 defined over the interval [-6, 6]. Justify…

A: Rolle's theorem is satisfied if : f(x) is continous at given interval. f(x) is differentiable at…

Q: Explain why the Mean Value Theorem does not apply to the function f on the interval [0, 6].

A: To satisfy the criteria of mean value theorem the function must be continuous in the closed interval…

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: 6.42. Describe the sets in which the functions below are positive. (a) f(x,y) = 1-x?

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Q: Determine if each of the following relations is a functions with domain A={1,2,3,4} and codomain B…

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Q: Find Lebesque integrae of function segment (-4,0) On f(x) = Txen X+4 O a. 12*41/3/5 O b. 3*41/3/5 O…

A: In R if a function is integral the lebesgue and Riemann gives same value

Q: Explain why the Mean Value Theorem does not apply to the function f on the interval [0, 6].

A:

Q: 1. Which of the following relation between x and y represents y as a function of x? Select all that…

A: Relation between x and y is given in the graph. we have to the relation as a function.

Q: Suppose that f is given for æ in the interval [0, 12] by x = 2 4 6. 8 10 12 f(x) =-14…

A: Suppose that f is given for x in the interval [0, 12] by  x 0 2 4 6 8 10 12 f(x) -14 -17 -21…

Q: Select all of the following tables which represent yy as a function of xx. xx 2 8 15 yy 5 7 12 xx 2…

A: We have to check the function

Q: Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6)} be a functionfrom A to B.…

A: givenA = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6)} be a functionfrom A to B

Q: 24. Express the distance d, from a point (x, y) on the graph of x+ y= 3 to the point (5, 8) as a…

A:

Q: How do you show the image of the intersecction of S and T is a subset of the intersection of the…

A: Let function f from A into B. Let S and T are subset of A. To show that fA∩B⊂fA∩fB. Let y∈fA∩B. To…

Q: O Prove that f-1of = ldom / iff f-1 is a function from ran f to dom f.

A:

Q: If the function f goes through the points (2,4) and (0,9), what points does f go through? 1. (2,4)…

A:

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: 1. For which values of k is the set of order pairs (2,4), (k, 6), (4,0) a function?

A: Since you have asked multiple questions in a single request, we would be answering only the first…

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: Find three relation from {1, 2} to {6, 7} that are NOT functions.

A: Solution is given below:

Q: True or False A function is a relation between two sets Dand R so that each element x in the first…

A: By definition: A function is a relation from a set of inputs to a set of possible outputs where each…

Q: 2. Find the first 3 iterates of the function f(x) = 0.75x when xo = 5. %3D 5, 3.75, 2.8125 4.25,…

A: First iteration is x1 = .75*5 = 3.75... Second iteration is x2 = .75*3.75 = 2.8125... Third…

Q: Find four relations from {a, b} to {x, y} that are not functions from {a, b} to {x, y}.

A: It is given that the two sets are {a, b} and {x, y}. It is known that if A and B are the sets then…

Q: What is the domain of if x0 Give the range of f(x) = x< 0 A. (-00, 00) B. (-4, 0) C. (-4, 00) D.…

A: As per guidelines we have to solve three suboarts Since ist two question answer is not in option  So…

Q: Given X={20,40,0,80,120,130, 140, 410,5003, Y={0,1,23,4,5,6,7,10,11}, and function f. X-Y, Vx+10…

A:

Q: A function defined by f(m, n) =m-n is and onto function. O True O False QUESTION 10 Please show work…

A: A function f: A→B is onto when every element in B there exist an element in A such that f(a)=b

Q: Find a function from the set {1,2,.....30} to {1,2,.....10} that is a 3-to-one correspondence.

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Q: Select the graph which satisfies all of the given conditions. f' (-3) = f' (1) = 0 Increasing on…

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Q: Suppose the second derivative of a function f is f" (z) 0 (-∞, 1) U (1, 3) U (5,00) ○ (3,5) O (1,3)…

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Q: 10+ 8- 6 2 0 -8 -6 -4 2. 4 8 10 -2- -6 -8- -10- Select the correct answer for end behavior of the…

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Q: GRuen that the divectional deivative of f(x,4,2) out the point (3,-2,1) in the divection of a=…

A: Given a→=2i^−j^−2k^ and directional derivative of fx,y,z at the point 3,-2,1 in the direction…

Q: (a) What is the number of onto functions f : {1,2, 3, 4, 5} → {1,2, 3}? (b) What is the number of…

A:

Q: What are the discontinuity and zero of the function f(x) = x^2+8x+7/x+1    Discontinuity at (1,…

A: Given,        fx=x2+8x+7x+1        fx=x+7x+1x+1      Discontinuity at x=1  at f1=x+7=8…

Q: Choose the correct option. Let f:R→R be defined by f(x)=x|x|, then the function f is - (a)one-one…

A: Given :  Let f : R→R be defined by  f (x) = x  | x |.    To determine :  Whether the function is (a)…

Q: The domain of the function g(t) = vt – 5 is O R-{5} O R O (5, O [5, 0) о (-оо, —5) (5, 00)

A: From the given function: gt=t-5

Q: 5. Find three relation from {1, 2} to {6, 7} that are NOT functions.

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

Q: Let f : {2, 3, 4, 5} → {3, 4, 5, 9} and g : {3, 4, 5, 9} → {7, 11, 15} be functions defined as f(2)…

A: Given f : {2, 3, 4, 5} → {3, 4, 5, 9} and g : {3, 4, 5, 9} → {7, 11, 15}f(2) = 3, f(3) = 4, f(4) =…

Q: Let f(x) dr = -8, f(z) dr = 3, g(x) dr = 7, g(1) dr = - = -15,

A: Given∫02f(x)dx=-8, ∫03f(x)dx=3, ∫02g(x)dx=7, ∫23g(x)dx=-15

Q: Evaluate the function at the specified points. f(x, y) = x + yx“, (-5, 5) , (2, 5) , (–5, –2) At…

A: Given: f(x, y)=x+yx4, (-5, 5), (2, 5), (-5, -2)

Q: 5. Let f, and f, be the function from R to R such that f,(x) = x²+2x+3 and f,(x) = x-x. What are the…

A:

Q: For the function def ined by f (x) =x² on [0, 1] and P=0,-,- 4 4 4 1, then: U(f;P)=[X]

A: We will find U(f,P) for the partition

Q: Are the following functions? xlx 7|3 314 7|3 314 1|7 2|1 3|4 2|1 7|3 714 3|2 xlx 1|7 2|7 3|7 4|7 1|2

A: To check if the given relations are functions.

Q: Which of the following are one-to-one functions? OR = {(– 5, 0), (2, 3), (6, 5), (8, 7), (11, 10),…

A: A function is said to be one one if each element of one set is mapped with a unique element of…

Q: Let S = {a, b, c} and T = {1, 2, 3}. Find F–1 of the following functions F from Sto T, if it…

A: Given:

Q: Evaluate the function at the specified points. f(x, y) = y+ xy', (-2,4), (1, –3), (3, 1) At (-2, 4):…

A: Topic: function

Q: Find four relations from {a,b} to {x,y} that are not functions from {a,b} to {x,y}.

A: Given: Let A=a, b and B=x, y To Find: Four relations from A to B that are not functions.

Q: 6. For each of the cases, give an example of function f: Z → Z. Verify your examples. (a).…

A: