Question

A function is defined as {(0,1), (2,3), (5,8), (7,2)}. Issac is asked to created one more ordered pair for the function. Which ordered pair can be add to the set to keep it a function? (0,2) (5,3) (7,0) (1,3)

Answer 1

A function is  a relation that maps to each input value exactly one output value.

Given the function as {(0,1), (2,3), (5,8), (7,2)}, you can rewrite it

• f(0)=1;
• f(2)=3;
• f(5)=8;
• f(7)=2.

Now consider all options:

1. the ordered pair (0,2) cannot be add to this function, because then f(0)=2, but you have already that f(0)=1 and output value should be one value;
2. the ordered pair (5,3) cannot be add  to this function, because then f(5)=3, but f(5)=8 (given) and output value should be one;
3. the ordered pair (7,0) cannot be add to this function, because then f(7)=0, but f(7)=2;
4. the ordered pair (1,3) can be add to the set, because f(1)=3 is unique ordered pair (with 1st coordinate 1)

Answer: correct option D