5. Let f: Z → Z be defined by f(n) = n² + 1. (a). Is f a one-to-one function? Explain. (b). Is f an onto function? Explain. (c). Is f a bijective function? Explain.

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: 11. (a) State the largest possible domain of the following functions: opk fix → x-3 x+2 h:xx²+3…

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Q: 1. Is the following relation a function? If not, explain why. 2. Is the following relation a fur…

A: 1) From the given table, The element 0 in the domain set has two images 1 and 2 in the range set.…

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Q: Given f: R → R where f(x) = -3x² +7 Is it a function or not? If function, identify whether it is…

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Q: b) Consider a function, f: Z → Z where f(x) = 3x + 3 (a) Prove or disprove whether fƒ is injective…

A: A function f(x) is said to be injective when f(x)=f(y)⇒x=y for all x & y Let…

Q: The functions f and g are defined as f(x) = - 5 , g(x)= X+3' a) Find the domain of f, g, f+g, f-g,…

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Q: Refer to the following functions: p(x) = x2 + 2x – 15 x +1 9(x) x-3 r(x) = v7-x Which of the…

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Q: Please show step by step: " A function f : Z → Z is defined by f (n) = 2n + 1. Determine whether f…

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Q: Use the graph of the function to answer the following questions.

A: We have to find

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

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Q: Let f:R → R be the function with rule f(x) = 5x + 2, and let g: R → R be the function with rule y –…

A: To find  f0g(-1)  And  f0g(6)

Q: Determine whether the following relations R from A to B is a function or not. If the relation is not…

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Q: Let g be the function g(x)=x²-x. Find g(-a). O None of these. O-a² + a O a² +1 O-a²-a O a² + a O…

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Q: 2 Functions a) Let ƒ : A → A and g: A → A be bijective functions. (a) Prove or disprove whether go f…

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Q: (a) What does it mean if a function f: A B is not surjective?

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Q: Pls Help ASAP

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Q: Q#4, A function f : Z x Z -> Z is defined as f(m, n) = 3n - 4m. Is this function injective,…

A: A function f: ⥮ X ⥮ → ⥯ is defined by f(m,n)=3n-4mInjective:  f(0,0) = 0f(4,3) = 3(4)-4(3) =…

Q: 19. Suppose f : X →Y is a function. Which of the following are possible? Explain. a. f is injective…

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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: 7. Let f be a function such that f" can -5 be described via the graph to the right. 10 a) At what r…

A: According to the given information, f is a function such that f’’ can be described. For part (a) it…

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: a. Sketch the function f: R → R, where f(x) = x(x-2)(x+2). b. Using the horizontal line test,…

A: The given function fx=xx-2x+2. We have to sketch the graph of the function and check it is one to…

Q: 1. The graph of function f is shown. a) Draw the graph of f-¹ on the same set of axes as f. b) What…

A: Given the graph of f. The objective is to draw the graph of f-1 and to find the values of f-1(2) and…

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) Determine wether the following a function or not and for functions check if if the function is…

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Q: Let f be a function. If f (a) = f (6), then a = b. O True O False

A: We have to check is true or not

Q: Exercise 4. Let p: R→ R be a polynomial function, that is, assume that p is given by an expression…

A: A surjective function, also known as an onto function, is a type of function between two sets that…

Q: Find an example of functions f(r), g(x) such that f(g(x)) is a bijection, but 5. g is not surjective…

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Q: (a) Let f:Q → Q be the function defined as follows: f(x) = 1 + 2x. Is f(x) a surjective function?…

A: Solution

Q: 5. Give an example of: 1. A function f: N→ N that is injective but not surjective. 2. A function f:…

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Q: Taylor is paid on the frst day of the month and $80 is  automatically deducted from her pay and…

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