5. Let B= {a,b, c}. For each of the following, if possible give an example. If not possible, explain why not. (a) A 1-1 function fi : B → Z (b) An onto function f2: B- z (c) A 1-1 function f3 :Z- B (d) An onto function f4 :Z- B

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Q: The following functions all have {1, 2, 3, 4, 5} as both their domain and codomain. For each,…

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Q: Let f be defined by the graph to the right. Find VF(- 2.5) + f(1.9) – [(x))² + f(1) ÷ f(2) • f( – x)…

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Q: 4. Consider the relation N where v is the video name, and N(v) is its Number in the list (for…

A: Given that N(v) denotes the number of a video in a list. That is, for example N (Sorry) =14, That is…

Q: Let A = {1,2,3}, B B = = Define the functions f: AC and g: B → C by f(1) = 7, f(2)= 9, f(3) = 7,…

A: We want g o h = f.     So, we want g o h(1) = f(1) = 7            and g o h(3) = f(3) = 7   Now,…

Q: 5. Let A = {a,b} and B = {1,2,3}. (a) Write out all functions f: A → B using two-line notation. How…

A: Note:-  As per our guidelines, we can answer the first part of this problem as exactly one is not…

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A: Step 1: Step 2: Step 3: Step 4:

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: (a) Give an example of two functions f: A→B and g: B-C such that f is both 1-1 and onto but gof is…

A: (a)let's define sets 𝐴, 𝐵, and 𝐶 as follows:Let 𝐴={1,2}Let 𝐵={3,4}Let 𝐶={5}Now, let's define…

Q: Use the graphs of f and g (see attached) to evaluate the composite function : (g ∘ f)(0)

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Q: The following functions all have domain {1, 2, 3, 4} and codomain {1, 2, 3, 4, 5}. For each,…

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Q: 7. For each of the following, give an example of functions f: A → B and g: B C that satisfy the…

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