Fill in the blanks below in order to justify whether or not the mapping shown represents a function. Set A 2 since -3 8 Set B The mapping diagram above 4 O -2 ◆ a function in where there
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- 1. Write a precise mathematical definition of the following term Function: Contradiction: Subset: Path in a Graph:16. Translate the following sentences into a mathematical symbol Let p, q and r denote the following statements about a particular triangle ABC. p: Triangle ABC is isosceles. q: Triangle ABC is equilateral. r: Triangle ABC is equiangular. Triangle ABC is isosceles, but it is not equilateral. Group of answer choices ¬p v r p v ¬q p ^ ¬q ¬p → ¬q ¬p ^ r 17. Determine whether each relation is a function or not. {(4,8) (5,7) (6,2) (7,3)} Group of answer choices Function Cannot be determined Not Function 18. Which of the following is the correct mathematical symbol for: “Thrice the sum of two numbers is at least two times the square of the product of two numbers”? Group of answer choices 3(x+y)≥2(xy)2 3(x+y)≤(2xy)2 3x+y≥2(xy)2 3x+y≤(2xy)2S = {2,4,6,10,12,20,30,60}. Draw the Hasse diagram of R if xRy iff x divides y.
- Get the Karnough Map of the ff. black diagram. Identify the number minterm with 1 valueLet A = {4, 5, 7} and B = {x, y}. Let p1 and p2 be the projections of A ✕ B onto the first and second coordinates. That is, for each pair (a, b) A ✕ B, p1(a, b) = a and p2(a, b) = b. (a) Find p1(4, y) and p1(7, x) What is the range of p1? (Enter your answer in set-roster notation.) (b) Find p2(4, y) and p2(7, x). What is the range of p2? (Enter your answer in set-roster notation.)If 14, 22 is a point on the graph of y = f(x), which of thefollowing points must be on the graph of y = f(2x)?(a) (4, 2) (b) (8, 2)(c) (2, 2) (d) (4, 4)
- Which of the following gives the domain of2. LetA={0,1,2,3,4}. Write out the relation R that expresses ≥ on A.Use the mapping statement f(x)→2⋅f(x)f(x)→2⋅f(x) to answer the questions. Part A: Which option gives the correct interpretation of the statement? Part B: Which graph correctly demonstrates this transformation, where f(x)f(x) is the preimage and g(x)g(x) is the image? Select one answer for Part A and one answer for Part B.
- The relation R is defined in A = {1,2,3} by a R b if |a^2 - b^2|1 <= 5. Which of thefollowing is false?Select one:a. R^-1 = Rb. Range of R = {5}c. R= {(1,1), (2,2), (3,3), (2, 1), (1,2), (2,3), (3,2)}d. Domain of R = {1,2,3}e. 2 R 11. Write precise mathematical definition for the following terms: d) Simple graphe) Equivalence classf) Reflexive relationMake sure your answer is (1,2) with no spaces Graph the following lines on a whiteboard.