Q:

A function is a relationship that maps__.A) many inputs to many outputs or one input to one outputB) many inputs to many outputs or many inputs to one outputC) one input to many outputs or one input to one outputD) one input to one output or many inputs to one output

Accepted Solution

A:
Solution:A function is always a relation but a relation is not always a fucntion.For example we can make a realtion of student roll number and their marks obtained in mathematics.So we can have pairs like (a,b), (c,d)..etc.Its a realtion but it may not be function. Because function follows that for same input there should not be diffrent output, aslo there could be many inputs to one output in the case of constant function . But this doesn't holds a necessary condition in case of relation.Because two diffrent students with two diffrent Roll number may have same marks.Hence the foolowing options holds True in case of a function.A) many inputs to many outputs or one input to one output.D) one input to one output or many inputs to one output.