QUESTION 1 If f = {(1,c) (3,a) (2,d) (4,f)} then the range of f is O a. {a, c, d, f} Ob {1, 4 ,3,2 } Oc. (c, a, 4, f} O d. {1, c, 3, a, 2, d, 4, f} QUESTION 2 If f(2) = 4, f(3)= 5, g(5)= 3, g(4) = 2 then (g o f)(2) = %3D O a. 2 O b. 3 O c. 4 Od.5 QUESTION 3 Click Save and Submit to save and submit. Click Save All Answers to save all answe P Type here to search bp ३ ३ ३

Q: Which of the following is not a function? a. {(1,2), (2,2), (3,2), (4,2)} b. {(0,2), (1,3), (4,3),…

A: Function:  If each input value leads to only one output value, that is classify the relationship as…

Q: Let S = {-1,0, 2, 4, 7}. Find ƒ (S) if a) f(x) = 1. b) f(x) = 2x +1. %3D c) f(x)= [x/5]. d)…

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Q: (1,5) (-3, –2) (6, –2) What is the range of the function graphed above? O[ – 2, 0) O(- 0, 0) O[ - 5,…

A: The range of a function is the complete set of all possible resulting values of the dependent…

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: f (x) =, |2х-5 1 (-0,2) U[3,0), (-0,2]U(3, 0) , (-x,2)U[5,0) }. (-0,2) U[5, ) }. The domain of x-2…

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Q: Question 2 The figure below shows the graph of the function f, whose domain is the closed interval…

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Q: Section 3.2 Distance and the Ruler Postuláte 39 Corollary 3.2.8. A * C * B if and only if B * C * A.…

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Q: Let S = {1,2,3,4} and define functions f g: S→S by f = {(1,3), (2,2), (3,4), (4,1)} and g = {(1,4),…

A: Consider the provided question,

Q: 17 Question The inverse function of {(2,6), (-3,4), (7,-5)} is A) (-6,-2), (-4,3), (5,7)} B)…

A: We have to find the inverse of function

Q: (a) Given that f(-1,1) = 4.5, fæ(-1,1) = 0.8, and fy(-1,1) = 1.5, approximate f(-1.2, 1.1).

A: Linear approximation to two variable function

Q: {X, p, {a}, {b, c}}, Y = {1,2,3}, t* = {Y, ¢,{1},{1, 2}} and a function (b) Let X = {a,b, c}, t =…

A: We will use definition of open map and closed map.

Q: X = {p, q, r, s} Y = {4, 5, 6, 7, 8} The function f: X → Y is defined as: f = {(s, 8), (r, 8), (q,…

A: We want to find elements in the range of function f.

Q: A={0,1,2,3,4}, B={2,3,4,5} and f={(0,3), (1,3), (2,4), (3,2), (42)}. State the domain and range of…

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Q: 4. Let S = {-1,0,2,4,7}. Find f(S) if а. f(x) — 1 b. f(x) = 2x +1 %3D c. f(x) = |*/s] d. f(x) = [x*…

A: Given:S={-1,0,2,4,7}

Q: Question 17 Given A = {-1, 0, 1, 2} and B = {3, 4, 5, 6}. Which of the following is a function from…

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Q: Question 4 Given the ordered pair representation of a function f to be {(x, y) | f(x) = y}, what is…

A: Explained below

Q: -10 -9 -8- -5 -3 -1 3. 4. 6. -1 9 10 -2 -3 -4 -5 -7 -8 From the figure given above, it can be seen…

A: These are application of derivative . When f'(x)<0, function is decreasing . When f'(x)>0,…

Q: 2. Let S = {-1,0, 2, 4, 7}. Find ƒ (S) if b) f (x) = 2x + 1. d) f(x)=L(x² + 1)/3]. a) f(x)= 1. c)…

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Q: 1. Sketch a contour map of f (x, y) = /4 – x² – y² for the levels z = 4,3,2,1,0. 2. What is the…

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Q: 17 Which set of ordered pairs represents a function? О (0, 1), (1, -1), (1,2), (2, 1), (-1,3)} ©…

A: y = f(x) A function is defined as a relation from set of inputs to a set of possible outputs where…

Q: F = {(-3, 0), (4, 2), (-1, 2), (2, 2)} Is F a function and why/why not? No, each set of ordered…

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Q: QUESTION 11 Let x = {1,2,3,4,5,6} and y = {a,b.c,d,e.f} Which of the following functions is not…

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Q: az if If f(x) = then the if *<1 values of a and b such that f is differentiable on bx + 2 (-00, 0)…

A: Topic = continuity and differentibility

Q: Example 10 Let X = {a, b} and Y = {1,2,3}. Find the number n of functions: a. From X into Y, and b.…

A: Suppose, set X has p elements and set Y has q elements. Then, the total number of functions from set…

Q: X = {p, q, r, s} Y = {4, 5, 6, 7, 8} The function f: X→ Y is defined as: f = {(r, 7), (s, 8), (p,…

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

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Q: Consider functions ƒ : {1,2, 3, 4, 5, 6, 7, 8} → {a, b, c, d, e, ƒ}. How many functions have the…

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Q: Which set of ordered pairs is not a function? E {(-2, 3), (4, 1), (2, 1), (1, 5)} © {(1, 4), (2, 3),…

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Q: 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…

A: Consider the provided information, Let the function which satisfy all the given points. So, When…

Q: Graph of case l f(x)=b^x b > 1

A: Exponential function Question

Q: QUESTION 7 Which functions on {5, 6, 7, 8} x {w, e, r, t} is one to one? O {(5, r), (6, w), (7, e),…

A: According to experts guidelines for bartleby i have to solve only first problem so repost the…

Q: {(0, 2), (0, 3), ((4,2))} Function Not a Function Question * {(-1,5), (2,5), (3,5), (5, –1)}…

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Q: Question 17 Given A = {–1, 0, 1, 2} and B = {3, 4, 5, 6}. Which of the following is a function from…

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Q: 3. Which of the following sets represent invertible functions? Select all that apply. {(2, 3), (–2,…

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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: Question 1*. Let A = {1,2, 3, 4} and B = {1,2,3}. Determine whether the following sets are functions…

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Q: What is the range of this relation? 1 1 4. 6. O 1.2. 4, 5) O {1,2, 4, 6) O (1.2, 4, 5, 6)} O (0. 1,…

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Q: QUESTION 9 Which functions on {5, 6, 7, 8} x {w, e, r, t} is one to one? О (5, г), (6, w). (7, е),…

A: Solution:Given  which functions on {5,6,7,8} × {w,e,r,t}is one to one?10.f(x)=7x-3To find f-1

Q: A {a, b, c, d} X [1, 2, 3, 4} The function f:A→X is defined by the arrow diagram below. Select the…

A: We have to select the pairs that defines a function.

Q: A = {a, b, c, d} X = {1, 2, 3, 4} Each choice defines a function whose domain is A and whose target…

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Q: Five different relationships between ar and y are shown. Select all of the relationships that are…

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Q: 2. U = {11,22, 33, 44, 55}. V = {1,2,3,4}. uRv if and only if u - v is even. Draw an arrow diagram…

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Q: What are the domain and range of this function? (13, 20), (19, 2), (-16, 7), (8, 3). (11, 20) OD (2…

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Q: QUESTION 10 Which of the following relations also define a function from A to B? A fa, b, c, d), B…

A: A relation R from set A to set B is called a function if each element of A is related to exactly one…

Q: Question 3*. Let S = {1,2,3, 4}, and let f : S → S, g : S → S and h : S –→ S be the following…

A: The answer is given as follows :

Q: 2)Realize Roll's theorem of the function f(x) = x + 1/x on [1/2, 2].

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Q: True/False: The permutation f on A = {1, 2, 3, 4} given by f(1) = 2, f(2) = 4, f(3) = 3, f(4) = 1 is…

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Q: For two cdfs F(x) and G(x), F(x)G(x) is a cdf.

A: Solution

Q: If f(x) = {(2, 3), (4, 8), (7, –1)} and g(x) = {(8, 2), (-1, 4), (2, 7)}, find (f g)(x) if it…

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Q: 8. R = {-9, -6, -3, -1, 0, 1, 3, 6, 9}, ƒ is a function from R to the set of whole numbers as…

A: The domain of a function is all the x values where the function is defined and give a real output.

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.