For the mapping f from R to R defined by f(x) = 8 – 2x, which of the following indicate type of function? , fis a function which is neither onto nor one-to-one Ob. fis not a function fis a function which is onto but not one-to-one Oc. f is a function which is both onto and one-to-one d. fis a function which is one-to-one but not onto e.
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- For function f from {a, b, c, d} to {1, 2, 3, 4, 5}. f(a) = 4, f(b) = 5, f(c) = 1 and f(d) = 3, The set containing the domain has the following elementsWhich of the following is the definition of a higher-order function? func xs = sum (map (^2) xs) func x = x * 2 func (x,y) = (y,x) func (x:y:zs) = y func f [x,y] = [f x, f y]Suppose the language, L, over an alphabet Σ0 is regular, and f : Σ0 → Σ1,is a function from the alphabet Σ0 to the alphabet Σ1.The function f can be lifted to words producing the function:ˆf : Σ∗0 → Σ∗1ˆf(ε) = εˆf(aw) = f(a)ˆf(w)Show that the language Lf = {ˆf(w) ∈ Σ∗1| w ∈ Σ∗0} is regular.Hint: You have to use the formal definition of DFAs.
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- For each of the following ML functions, could the activation record for the function be deallocated as soon as the function returns? Explain why or why not. fun f x = fn y => y + 1 fun f x = map ~ xThe sequence of values: n, c(n), c(c(n)), c(c(c(n))), c(c(c(c(n)))),... is known as the hailstone sequence starting at n. Implement c(n) as a function. Use predicates to test the parity of each input n.Expand on the concept of Black Box and then go into detail on primivitive functions:
- The code of a sequential search function is shown on textbook page 60. In fact, if the list is already sorted, the search can halt when the target is less than a given element in the list. For example, given my_list = [2, 5, 7, 9, 14, 27], if the search target is 6, the search can halt when it reaches 7 because it is impossible for 6 to exist after 7. Define a function linearSearchSorted, which is used to search a sorted list. This function displays the position of the target item if found, or ‘Target not found’ otherwise. It also displays the elements it has visited. To test your function, search for these targets in the list [2, 5, 7, 9, 14, 27]: 2, 6, 14, 27 and 28.I need help with this question of Data Structures and Algorithmns with explanation 1 True of False a) For two functions f(n) and g(n) if f(n) =O(g(n)) then g(n) = Ω(f(n)) (True or False) b) For two positive functions g and h if f(n) =O(g(n)) then g(n) = O(h(n)) , then f(n)= O(h(n)) (True or False) c) If g1(n) = O(f(n)) and g2(n) = O(f(n)), then g1 + g2 = O(f(n)) (True or False)In order for a function to be defined as a distance, it must provide certain properties (axioms). Accordingly, including J (.,.) Jaccard likeness, d (x, y) = 1-J (x, y) prove whether the function is a distance metric data mining