Consider these functions from the set of students in a discrete mathematics class. Under what conditions is the function one-to-one if it assigns to a student his or hera) mobile phone number.b) student identification number.c) final grade in the class.d) home town.

Q: 3. Create/Draw one (1) example for each of the following types of function: a. Surjection function…

A: We solve this by using definition of the following

Q: If F is a continuous on the set of real numbers, then (A True (B False

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Q: 4. Suppose P is the set of people alive today and C is the setof possible eye colors. Let f : P → C…

A: Given :          P is the set of people alive today and C is the set of possible eye colors.…

Q: Find and classify the discontinuities of the following function as removable or nonremovable. If a…

A:

Q: Suppose that f(x) is a function with f(110)=79 and f′(110)=8 Estimate f(108.5) f(108.5)=

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Q: In the game of Hearts, four players are each dealt 13 cards from a deck of 52. Is this a function?…

A: Here in the given problem statement it is stated that in a game of hearts ,four players are each…

Q: for all real nombers, as fllou) -7

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Q: Name an interval where the following function is non-linear. 4 5. 7 10 O 6 <x< 10 O 2 x<5 O 0 x< 2 O…

A: We know that , Graphically a linear function is a function whose garph is a straight line by…

Q: Suppose that f(x) is a function with f(120) = 37 and f' (120) = 8. Estimate f(118.5). f(118.5) =

A: answer is in next step

Q: Determine whether the following functions are continuouuus or not. Are not, classify them as…

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Q: Suppose that f(x) is a function with f(120)=52 and f′(120)=3. Estimate f(119.5).

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Q: The following fragment of a train schedule for the New Jersey Transit System defines a function f…

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Q: Eliminate the arbitrary function in the following and hence obtain the corresponding PDE

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Q: Determine which of the points in the following list lie in the domain of the function f(x, y) =…

A: Let's find.

Q: If A and B are finite, show that the set of all functions f: A B is finite.

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Q: If F is a continuous on the set of real numbers, then A True B) False

A: Note that we can take constant outside of an integration. So, the given statement is true.

Q: Suppose that f(x) is a function with f(140) = 25 and f' (140) = 2. Estimate f(142). f (142) =

A:

Q: Find and classify the discontinuities of the following function as removable or nonremovable. If a…

A: Consider the function    ux=x2-9x-5 Removable discontinuity:-   A discontinuity at a point x=a  is…

Q: The following fragment of a train schedule for the New Jersey Transit System defines a function f…

A: A train schedule for the New Jersey Transit System defines a function f from towns to times

Q: Determine which of the following functions are locally Lipschitz, globally Lipschitz, or not…

A: Here we need to find wether given function is locally, globally lipschitz or not.

Q: Explain, using Theorem 4, 5, 7 and 9, why the function is continuous at every number in its domain.…

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Q: Invent an interesting and original piecewise function, p(x). For the function you invented in…

A: A piecewise function is a function where more than one formula is used to define the output. Each…

Q: OShow that function fex)- xl îsnotalifferentible ato

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Q: Define H(x) as a piecewise defined function and evaluate H(1), H(2), H(3), H(0) and H(-2) given by,…

A: We have to solve the problem by just putting the value in the piecewise function.

Q: Assume whether the function graphed in the accompanying figure is continuous on [-1,3]. y = k(x) 2 3

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Q: The following fragment of a train schedule for the New Jersey Transit System defines a function f…

A: From the table, we see that  f(Hamilton Township)=6.27

Q: Determine whether the function f is one-to-one.

A: Given: f(x)=1x A function is said to be one to one if the value returned by function for two…

Q: Suppose that f(x) is a function with f(180) = 35 and f'(180) = 10. Estimate f(180.5). f(180.5)

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Q: If n represents the width (in inches) of the cropped photo, define a function g to determine the…

A: Given n represents the width (in inches) of the cropped photo.

Q: Show That any constant function Set is measurable. an ameasurabl

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Q: Let y = f(x) be the piecewise dehned -x- 1, if x <-2, f(x) = {1, if 2 < x < 2, 1, if x 2. - f(-3) =…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Let the function fx=eax Where a= (last three digits in the form 1.23) X 1 3 4 f(x) . Complete the…

A: Given function f(x)=eax where a=1.23 So f(x)=e1.23x. The objective is to complete the table and…

Q: Suppose that f(x) is a function with f(85) = 76 and f'(85) = 1. Estimate f(84). %3D f(84) =

A: f(85) = 76 f'(85) = 1 f(84)  = ?

Q: Suppose that f(x) is a function with f(110) = 25 and f'(110) = 2. Estimate f(111.5). f(111.5) =

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Q: Suppose that B is a subset of A. Specify a one-to-one function whose domain is B and whose range is…

A: suppose that B is a subset of A claim- to find a one-to-one function whose domain is B and range is…

Q: Use the definition of a one–to–one function to determine if the function is one–to–one. P (x) = x2 -…

A: Given function is,

Q: Determine whether the function f(x) = x2 from the set of integers to the set of integers is…

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Q: Determine which of the following functions are valid PSDS (i) w + 302 + 3 (ii) exp[- (@ – 1)²]

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Q: Suppose that f(x) is a function with f(125)=52 and f′(125)=9 Estimate f(126.5)

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Q: Suppose that the function h is defined, for all real numbers, as fe 3 x+1 ifx#2 h(x) =- if x=2 Find…

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Q: Differentiate the following function: VP +5VF и — u' =

A: The given equation can be rewritten as shown below: u=t23+5t13

Q: Find the domains of defination of each of the following function: Vlog.x-2 0/(x)-

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Q: Find the Rolle's theorem For the Following function and iFit is truerfindthe Value oF C

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Q: t(x) =             1                        64 + x^2

A: Domain : -∞, ∞

Q: sketch a araph of a function f that satisfies the civen values. if lo メう-3 um if ex) does not exist…

A: The function f that satisfies,f(-2)=0f(2)=0limx→-2f(x)=0limx→2f(x) does not exits.

Q: f (x) = x³ + 4x² + 4x + 2

A: fx=x3+4x2+4x+2 Now let c be any real number. Then, fc=c3+4c2+4c+2 &amp;…

Q: Suppose that B is a subset of A. Specify a one-to-one function whose domain is B and whose range is…

A: