Question

Let X = {1,5,9} and Y = {3,4,7} Given f: X to Y where f(1) = 4 f(5) = 7 f(9) = 4 Is f onto? Select one: a. Yes b. No

Answer 1

The function f:X to Y is onto because every element in Y is mapped to by at least one element in X.

Step-by-step explanation:

The function f:X→Y, where X={1,5,9} and Y={3,4,7}, is onto if every element in Y is mapped to by at least one element in X. In this case, f(1)=4, f(5)=7, and f(9)=4.

Since every element in Y is mapped to by at least one element in X, the function f is onto. Therefore, the correct answer is a. Yes.