3. Let a, b, c, d be real numbers with a < b and c < d. Find a one-to-one correspondence between (a, b) and (c, d). Make sure to explain why the function you found is both one-to-one and onto.

1. Determine if the set or relation forms a function. (a){(-2, 1), (2, 2), (-1, 2), (1, 2), (0, 2), (4, 2)} (b){(1, 2), (–3, 10), (0, 0), (4, 12), (–2, 0)}. (c){(-1, 1), (–2, 4), (10, 8), (-1, 0), (4, 20), (3, 5)}

Let R be the relation with ordered pairs (Abdul, 22), (Brenda, 24), (Carla, 21), (Desire, 22), (Eddie, 24), and (Felicia, 22). Here each pair consists of a graduate student and this student’s age. Specify a function determined by this relation.

Fill in the blanks outside the table showing the changes in the x- and y-values. Then, answer the questions. 1) a. Is it a linear function? b. Why/Why not? -3 1. -2 -1 3 4 1 5 2) a. Is it a linear function? b. Why/Why not? -5 2 1. -2 4 -1 6 1. 2 8 1. 10 3) -10 a. Is it a linear function? 1. -5 b. Why/Why not? 4 2 5 1. 10 -3 4) y a. Is it a linear function? b. Why/Why not? -1 -9 ]. -4 1. 1 1. 3 7 11 1. 11 15