1. Define a relationC fromR toR as follows: For any(x, y) R x R,

(x, y) C means thatx2 +y2 = 4.

a. Is (0,2) C? Is (-1-1) C? Is (12,12) C? Is -2C1? Is OC 1? Is -1C -2?

b. What are the domain and co-domain ofC?

c. Draw a graph forC by plotting the points ofCin the Cartesian Plane?

2.Let X = {a, b, c} and Y= {1. 2. 3. 4}. Which of the relations A, B, C defined below are functions form X to Y?

a. A= {(a, 1), (b,2), (c, 3)}

b. For all (x, y) X X Y, (x, y) B means that x is vowel and y is even.

c. C is defined by the arrow diagram

X Y 1 b 2 C W