Q:

Which relation is also a function?{(0, 3), (1, 2), (1, 4), (2, 1)}{(-1, 3), (0, 2), (3, -1), (3, 2)}{(2, -4), (2, -2), (2, 1), (2, 3)}{(-4, -3), (0, -3), (1, -3), (4, -3)}

Accepted Solution

A:
Answer: Last option.Step-by-step explanation: By definition, a relation is a function if each input value (value of "x") has one and only one output value ( value of "y"). Based on this, let's check each relation: 1) {[tex](0, 3), (1, 2), (1, 4), (2, 1)[/tex]} This is not a function, because the input value 1 has two different output values (2 and 4) 2) {[tex](-1, 3), (0, 2), (3, -1), (3, 2)[/tex]} This is not a function, because the input value 3 has two different output values (-1 and 2) 3) {[tex](2, -4), (2, -2), (2, 1), (2, 3)[/tex]} This is not a function, because the input value 2 has four different output values (-4, -2, 1 and 3) 4) {[tex](-4, -3), (0, -3), (1, -3), (4, -3)[/tex]} This is a function, because each input value has one output value.