Question

Let f = {(2, 7), (3, 4), (7, 9), (-1, 6), (0, 2), (5,3)} be a function from A = {-1,0, 2, 3, 5, 7} to B = {2, 3, 4, 6, 7, 9}. Identify the type of function.

• A. One-to-one
• B. Onto
• C. Both a and b
• D. Many-to-one

Answer 1

The correct option is C Both a and b

Given: f = {(2, 7), (3, 4), (7, 9), (-1, 6), (0, 2), (5,3)}
All the elements in set A has unique images in set B. Similarly all the elements in set B has pre-images in set A. Hence the function is one-to one and onto.