Let A = {1, 2, 3, 4], B = {a, b, c}, C = {x, y, z}. Consider the relations R from A to B and S from B to C as follows:

R = {(1, b), (3, a), (3, b), (4, c)} and S = {(a, y), (c, x), (a, z)}

(i) Draw the diagrams of R and S.

(ii) Find the matrix of each relation R, S (composition) RoS.

(iii) Write R−1

and the composition RoS as sets of ordered pairs​

In which direction does the left side of the graph of this function point? f(x) = 3x3 - x2 + 4x - 2

The volume of the sun is approximately 1 × 10^18 cu km, while the volume of jupiter is approximately 1 × 10^15 cu km. which of the following is true? a. the volume of jupiter is approximately one thousand times the volume of the sun. b. the volume of jupiter is approximately one hundred times the volume of the sun. c. the volume of the sun is approximately one thousand times the volume of jupiter. d. the volume of the sun is approximately one hundred times the volume of jupiter.

What are the solutions of the following system? y=-2x^2 y=x-2