Activity18- Functions odel III (20min) Inverse Relation. Given a relation R from A to B, the inverse is a relation R1 from B to A such that (v, x) E R if and only if (x, y) e R1 Example et A -(1, 2, 3, 4, 5) and B - a,b, d). The relation R (1,a),(2.c), (1,d), (3,b)) has inverse R1-{(a, 1), (c,2), (d,1), (b3)). e relation R ((1,a), Explore the model 1. In the model what is the domain of R? The codomain of R? 2. What is the domain of R-1? The codomain? To be a function, a binary relation, R, must have the property that for every element in the domain A, there is exactly one element in the codomain B for which (a, b) is an element of for R. Is the relation in the model a function? 3. Critical Thinking In each case, one of these is a function from A to B and one is not. Circle the one that IS a function Example 1. Let A (1, 2, 3, 4, 5} and B # {1, 2, , 9, 10) 1. a. The relation with the rule {(x,y) e A B : y = b. The relation with the rule ((x,y) E Ax B:y-2x 2. Example 2. Let A = {1, 2, 3, 4, 5)and B-(1, 2, , 9, 10) a. The relation with the rule ((1,1), (2,3), (4,4), (3,4), (5,6)) b. The relation with the rule ((1,1), (3,2), (4,4), (3,4), (5,6)) ge 7