Algebra and Trigonometry page no 194

Question

which sets of ordered pairs represent functions from A to B. Explain.
16. A={a,b,c} and b={0,1,2,3}

(a) {(a,1), (c, 2), (c, 3), (b,3) }

(b) {(a,1), (b, 2), (c, 3 }

(c) {(1,a), (0, a), (2, c), (3, b)}

(d) {(c, 0), (b, 0), (a, 3)}

Answer 1

The two sets are .

(a) The set of ordered pairs is .

The set of ordered pairs is not a function from A to B.

Since the element "c" in A is corresponds two elements 2 and 3 in B. 

(b) The set of ordered pairs is a function from A to B.

Since the each element in A is corresponds elements in B.

(c) The set of ordered pairs  represents a function from B to A.

Since the each element in B is corresponds elements in A, The input elements are belongs to B.

The set is not a function from A to B.

(d) The set of ordered pairs  represents a function from A to B.

Since the each element in A is corresponds elements in B.