f:A B A = {0, 1, 2}, B = {0,1} f(0) = 1, f(1) = 0, f(2) = 1 1.Is f, as described above, a function? If it is not a function, explain why. 2.If f is a function. Answer the following: a.lsfinjective? If it is not injective, explain why. %3D %3D %3D b.lsf surjective? If it is not surjective, explain why. c.lsf bijective? If it is not bijective, explain why. d.Does f have an inverse? If f has an inverse, what is the domain and codomain of f-? If f does not have an inverse, explain why.
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- The greatest common divisor (GCD) for a pair of numbers is the largest positive integer that divides both numbers without remainder. For function GCD, write the missing base case condition and action. This function will compute the greatest common divisor of x and y. You can assume that x and y are both positive integers and that x > y. Greatest common divisor is computed as follows:GCD(x, 0) = x and GCD(x, y) = GCD(y, x % y). Examples: GCD(6, 4) -> 2 public int GCD(int x, int y) { if <<Missing base case condition>> { <<Missing base case action>> } else { return GCD(y, x % y); }}For each of the following expressions, write functions f1, f2, f3, and f4 such that the evaluation of each expression succeeds, without causing an error. Be sure to use lambdas in your function definition instead of nested def statements. Each function should have a one line solution. f1 takes in nothing and returns 3. f2 takes in nothing and returns a function that takes in nothing and returns 3. f3 takes in nothing and returns a function that takes in 1 value and returns that same value. f4 takes in nothing and returns a function. This function takes in nothing and returns another function. This next function takes in a value and returns yet another function. This final function takes in nothing and returns the value passed into the previous function (if this explanation is confusing, have a look at the doctest, and it might be more clear). def f1(): >>> f1() 3 |||||| "*** YOUR CODE HERE ***" def f2(): |||||| >>> f2() () 3 |||||| "*** YOUR CODE HERE ***" def f3(): |||||| >>> f3() (3)…Given the following functions:void sum(int a, int b, int total) { total = a+b;}int main() { int x=1, y=2, s=0; sum(x,y,s); cout << s << "\n"; return 0;}1. Explain the problem with the sum function.2. Explain how to fix the problem without changing the main function.
- Let A = {1, 2,3} and B = {a, b, c, d} What is the function from a to b?ASSIGNMENT Consider the following function. What is the purpose of the function f? Please do explain and describe in details all possible answers for this function given below.int f(int n) {if ((a >= b) && (c < b)) return b; else if (a >= b) return f(a, c, b); else return f(b, a, c);} To find the maximum number between a, b, and c. To find the middle number between a, b, and c. To find the minimum number between a, b, and c. None of the other statements. Suppose the letters a,b,c,d,e,f have probabilities of 1/2, 1/4, 1/8, 1/16, 1/32, 1/32 respectively. Which of the following is the Huffman code for the letter a,b,c,d,e,f? Please show how is the Huffman tree, so that you can determine one of the options below. 0, 10, 110, 1110, 11110, 11111 11, 10, 01, 001, 0001, 0000 11, 10, 011, 010, 001, 000 110, 100, 010, 000, 001, 111 An adjacency matrix of a graph is given below: matrix at photoFirst, draw the graph defined by that adjacency matrix, and label the…Multiple Choice Question Consider the following function. What is the purpose of the function f? Please do explain and describe in details all possible answers for this function given below. int f(int n) {if ((a >= b) && (c < b)) return b;else if (a >= b) return f(a, c, b);else return f(b, a, c);} a. To find the maximum number between a, b, and c.b. To find the middle number between a, b, and c.c. To find the minimum number between a, b, and c.d. None of the other statements.
- thello is a board game and you are expected to implement the move function for this game. Arguments passed to the function are - a symbol of the player making the move and x y coordinates of the cell at which the player wishes to make the move. The move function will be returning a boolean, false - if the move isn't feasible and true - if the move is feasible and this function will also make the move then i.e. make the required changes in the board. Input Format: Line 1: Integer n (Total number of moves) Line 2: Player 1 coordinates, x and y (Two integers separated by space) Line 3: Player 2 coordinates, x and y (Two integers separated by space) Note 1: Number of moves (i.e. n) is always even and Player 1 always starts the game. Note 2: If any player's coordinates are not valid, enter again till the right move. Main function is given for you reference. Sample Input: 2 24 15 25 Sample Output: 00000000 00000000 00001000 00011000 00021000 00000000 00000000 00000000 false 00000000 00000000…Write a function that solve the problem and display the answer. You can test your function with the test cases - Q1. Write sq(x) The function sq{x) should accept a numeric argument named x. Then, sq should return the suqare of its argument. For example: In [1]: sq(2) out (1]: 4 In [2): sg(5) Out[2]: 25Let 1 represent true and 0 represent false. The function Conjunction(), whose incomplete code is given below, computes p∧q: def Conjunction(p,q):#FIX ME#return 1else:return 0 What should the line of code which contains the expression #FIX ME# be replaced with in order to complete the code? Question 3 options: if p != q: if p == 0 and q == 0: if p == q: if p == 1 and q == 1:
- Creating Functions Who's Return Shouldn't Be IgnoredThe Problem: Some functions return a value that never should be ignored. For example, there is no reason that anyone would want to call malloc and ignore the results. Is there any way to force people to use the return value of a function?could you please solve this question as Ocaml programming language ? thanks Sliding tiles 1.Create a type slidingTile, consisting of a char matrix and two integers x and y. The integers x and y are the coordinates of an empty tile. 2.Create a function val slide : slidingTile -> int -> int -> slidingTile = <fun> that given a slidingTile and two integers, that represent a location in the matrix, it slides the tile from the specified location to the empty tile, then returns the altered slidingTile. If provided location is not adjacent to the empty tile, or out of bounds, then return the slidingTile unaltered. 3.Create a function val print_tile : slidingTile -> unit = <fun> that prints a slidingTile on screen with the corresponding characters from the matrix. However, print an empty space where the empty tile is instead.Going missing Some calculations involving blank values may give different results to what you might expect. For example, when you pass a blank value into the AND() function, it is treated as TRUE. This is often unhelpful. To make blanks behave in a sensible way in calculations, you must first convert them to be "not available" using NA(). This function takes no inputs, and returns a missing value. To convert a blank value to a missing value, use this pattern. =IF(ISBLANK(cell), NA(), cell) Instruction In column H, use AND() to find women who have kids and get benefits. In column I, convert the blanks in column G to missing values. In column J, again find women who have kids and get benefits, this time using column I rather than G. please show the formula used to "has kids and gets benefits" , "gets benefits with missing values", has kids and gets benefits". Thank you Is non-white Has over 12 years of school? Is married? Has kids? Has young kids? Is head of household? Gets…