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Category > Math Posted 21 Aug 2017 My Price 7.00

Homework 6 1. Determine whether each of the following functions is 1-to-1 and whether it is onto.

please give original answers thank you always my friend.

Homework 6 1. Determine whether each of the following functions is 1-to-1 and whether it is onto.
Assume the domain and co-domain is Z, the integers. Explain your answers. (20 points, 2
parts – 10 points each)
a. f(n) = n / 2, assuming integer division
b. g(n) = 4n + 5 2. Given each of the following functions that maps X = {1, 2, 3} to Y = {A, B, C} (20 points,
2 parts – 10 points each)
a. f(1) = A, f(2) = B, f(3) = A
b. g(1) = C, g(2) = B, g(3) = A
Determine whether the function has an inverse. If it has an inverse, provide it. If it does
not, explain why not.
3. Refer to the functions in problem 2. What are domain and codomain of both functions?
What is the range of each of them? (20 points, 2 parts – 10 points each) 4. Draw arrow diagrams for both functions defined in problem 2. (20 points, 2 parts – 10
points each) 5. Given the following two functions f: R → R and g: R → R are defined by the rules:

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Status NEW Posted 21 Aug 2017 03:08 PM My Price 7.00

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