Give a binary relation R on an n-element set such that R != ∅ and |R ◦ R^(−1) | = n^(2) · |R^(−1) ◦ R

It was noted that the binary propositional operators, A and V, can be regarded as functions, f: B x B B. Explain why there exist 16 such functions in all.

Please answer ALL SEVEN questions: 1. What is the maximum value for the relation y= -8(x-3)^2-11 2. What is the miminum value for the relation y= 4x^2-8x+16 3. How many zeros are in the solution to the relation y= x^2-3x+4 4. For what value(s) of k will the relation y= x^2-kx+9 have only one zero 5. Determine the optimal value for the quadratic relation y= 2x^2-x+3 Thank you!

Let f {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} → {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} be defined by f(x) = 2x if x 6. Select all the elements of f({5,6}). 01 3 2 4 Select all the elements of f-¹({5,6}). 3 04 Select all the elements of ƒ−¹(ƒ({5,6})). 3 04 2 Select all the elements of ƒ(ƒ¯¹({5,6})). 01 3 04 5 5 06 6 07 07 07 07 U O 8 8 8 8 9 9 9 ✔10 10 10 10