What is an antiderivative? A it is the reverse process of differentiation. it is an integer that can be expressed as a product (ratio) of two integers, a, where the integer a is called B the numerator and the integer b is called the denominator and where b * 0. it is a group or collection of objects that are called members or elements of the set. it is the infinite process of differentiation.

Q: Prove or disprove: composition of functions is commutative; that is g◦f = f ◦ g when both sides are…

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Q: 5. Find the V.A. and H.A. of the function 6-9x Sex a). f(x) : b). f (x) : 2x+5 2ex-1

A: Vertical asymptotes: The line x=L is a vertical asymptote of the functionf(x), if the limit of the…

Q: Sketch the graph of a function f that is defined over all real numbers and that is decreasing on the…

A: Given: f(x) is decreasing on the interval -2,3. f(x) is concave down on the interval -2,2 f(x) is…

Q: How do you show the inverse image of the intersecction of S and T equals the intersection of the…

A: To prove : f-1(S∩T)=f-1(S)∩f-1(T) To show f-1(S∩T)=f-1(S)∩f-1(T) need to prove…

Q: 1. Let A = {blue, yellow, red}, B = of the relations below (a) determine if it is a function (b) if…

A: R1: D X B={(cat,blue),(cat,red)} So, {(cat,blue)} ⊂{(cat,blue),(cat,red)} Therefore R1 is a…

Q: What does it mean if a function f is increasing on an interval?

A: Let the given function be y = f(x) And the interval be I.

Q: Write out all functions f: {1,2} {a, b, c, d) (in two-line notation). How many functions are there?…

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Q: Create a table of integer values for x = -2 through x = 2 for the given funct f(x)=x²-5

A: Topic:- algebra

Q: True or false: There exists a monotonic function f: R → R whose range is the set of integers. True…

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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: Does the following set represent a function? R = { (0,0), (1, -1), (1,1), (3,-1), (3,3) } What is…

A: Here we use the concept of functions.

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: 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: ute whether or not the following relation a. {(2,2), (2,3), ((4,2))} b. {(1,3), (2,3), (3,2), (5,2)}…

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Q: Let A = {x, y} and B = {w,z}. Describe all relations from A to B. Indicate which of these are…

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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: 3 2 -1 -4 +2 -1 1 4 6. -1- -2 -3 -4

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Q: What is the main condition that makes an ODE homogenous or non-homogenous?

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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: How do you show the inverse image of the union of S and T equals the union of the image of S and the…

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Q: Let R = {(a, b), (a, c), (c, d), (a, a), (b, a)}. What is R ° R, the composition of R with itself?…

A: R = {(a, b), (a, c), (c, d), (a, a), (b, a)} R°R = R2 = { (a, a), (a, d), (a, b), (b, b), (b, c),…

Q: Given x = {5,10,15,20,25,30} and y function from X to Y. Let f(5) = 400, f(10) = 100, f(15) = 500, f…

A: x=5, 10, 15, 20, 25, 30  &  y=100, 200, 300, 400, 500, 600. f5=400,  f10=100,  f15=500,…

Q: Define Function spaces.

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Q: The first four Fibonacci numbers are 0, 1, 1 and 2, what is the twelfth number? 79 55 88 89

A: Since, you have posted multiple questions. As per guidelines, we are supposed to answer first…

Q: Consider functions f:{1,2,3,4,5,6,7}→{a,b,c,d,e,f}. How many functions have the property that f(1)≠c…

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