Determine if each of the following relations is a functions with domain A={1,2,3,4} and codomain B ={a,b,c,d}. Give a brief reason. %3D (1) f = {(1,d),(2,d),(3,b)} . (2) g = {(1,d),(2,c),(3,c), (3,a),(4, d)}.

Q: f = {(-9, – 2), (-8, 5), (-6, 1), (- 3, 7), (–1, – 2),(0, – 10)} and g = {(-7,7), (-6, 6), (-5, 5),…

A: Given that, f = {(-9, -2), (-8, 5), (-6, 1), (-3, 7), (-1, -2), (0, -10)} g = {(-7, 7), (-6, 6),…

Q: Find the Wronskian for the set of functions.{ex2, e−x2}

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Q: Consider a function with three variables a, b, c s.t f(a,b, c) = 2abc – a²b +c²b³c Find fa (a, b,…

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Q: Differentiate the following function. Do not simplify unless indicated. d e-3 dz z+1 (factor and…

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Q: Which of the following represent the order pairs for the function f(x) = 3x + 1 if the domain is {…

A: Given  f(x) = 3x +1  Domain of function is {1, 2 ,3 , 4}    We need to find the ordered pairs for…

Q: A 1.Find the domain of following functions: a.f (x) = {(2,6), (3, 9), (7, 11), (4, 0), (-1, 12)} and…

A: We are asked to find  domain and composite of the function

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: nctions? ) {(b,1),(b,2),(b,3)} ) {(a,2),(b,2), (c,2)} e) {(1,1),(1,2),(2,3)}

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Q: For a functionf (x, y), we are givenf (100, 20) = 2250, and f. (100, 20) = 8, andf, (100, 20) = 7.…

A: The detailed solution is as follows below:

Q: Which of the following sets represents one to one function? Select one: O a.{(1,-5), (-1, 6), (2,…

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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: One of the following relations is a function from A to B : .a F={ (1,2),…

A: To choose: The option which denotes a function from A to B: - (a.) F=1,2,2,4,2,6, A=1,2,3, B=2,4,6…

Q: Let f be the function from {a, b, c, d, e} to {1,2,3,4} with ƒ(a) = 3, ƒ (b) = 1, f(c) = 2, f(d) = 4…

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Q: Calculate the rangefor the following variables, assuming they are continuous. 1,7,7,10,8,8,6,16

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Q: Refer to the functions f and g and evaluate the functions at x =-2. f = {(2, -1), (1, 1), (-4, -6),…

A: (f+g)(-2)=f(-2)+g(-2)  Substitute   f(-2)=-8  ,    g(-2)=-5in the above equation

Q: For what values of p is the set of ordered pairs {(1,3), (2p, 4),(4,p)} a one-to-one function? A p…

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Q: If 10x³y* + e*Y = 5 defines y implicitly as a function of x, find y.

A: Using derivatives of implicit function.

Q: 5. Differentiate each of the following functions: a) (x+1)³(x-2)4 b) In x+1

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Q: If (1, a), (b, ), (c, 17) are points on the graph of the function h(t), which points are on the…

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Q: Determine if the following relations describe a function. Justify your answer. a.) R₁ = {(-2,0),…

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Q: Consider the following functions. f={(−2,1),(2,−4),(4,−4),(−1,1)}f={(−2,1),(2,−4),(4,−4),(−1,1)}…

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Q: Graph both functions on one set of axes. f(x) = 3" and g(x) = 7" y 6 -1.5 -1.0 -0.5 0.5 1.0 1.5 -1.5…

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Q: Find the rule of the function associated with the following table. 1 2 3 y 1 - 3 -7 -11 y = -4x+1 y…

A: We have to find the function y x 0 1 2 3 y 1 -3 -7 -11

Q: Let Y;. Yz. --.. Y, denote a random sample from the probability density function e , y20, 0,…

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Q: Which of these sets of points could describe a function? А. ((4,-2), (-1,5), (-2, —4), (4,-5)} В.…

A: The solution is given below in the next step:

Q: Which of the following relation is a one-to-one function? Write your answers on the space provided..…

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Q: The one-to-one functions g and h are defined as follows. g(x) = -9x-2 h={(-2, 9), (0, 4), (3, 5),…

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Q: The one-to-one functions g and h are defined as follows. g={(-8, -4), (-3, 6), (1, 9), (2, 1)} h(x)…

A: Given, h(x)=3x+13 and h-1(x)=x-133