Which of the following IS a function?

a. {(0,0),(0,1),(1,2),(2,0)}
b. {(1,0,),(1,2),(1,3),(1,4)}
c. {(0,1),(1,2),(0,3),(3,4)}
d. {(0,1),(1,2),(2,3),(3,4)}

Question

Which of the following IS a function?

a. {(0,0),(0,1),(1,2),(2,0)}
b. {(1,0,),(1,2),(1,3),(1,4)}
c. {(0,1),(1,2),(0,3),(3,4)}
d. {(0,1),(1,2),(2,3),(3,4)}

anonymous · Answer

D, because it associates every x value to one and only y value.
The other ones have duplicates (the first maps 0 both to 0 and 1; the second maps 1 to 0,2,3 and 4; the third maps 0 to 1 and 3)

aroub · Answer

a fuction is a relation such that no two distinct ordered pars have the same first component so the answer here is d.(0,1),(1,2),(2,3),(3,4) bec. as u can see the first component are different

anonymous · Answer

Thanks!! :)

aroub · Answer

did u understand??  / anytime! :D

anonymous · Answer

Yeah I was thinking D the whole time, just had to make sure.