Question

Is the following relation a function? {(3.-5). (1.2).(-1,-4). (-2, 2)} O Yes O No

Answer 1

Yes, because you have different inputs, each associated with its output: your pair of values are suggesting a function f such that

$f(3)=-5,\quad f(1)=2,\quad f(-1)=-4,\quad f(-2)=2$

So, you're never associating an input with two different outputs, so the relation is a function.

If, for example, you added the point (3, 55), you would introduce ambiguity, because you'd have

$f(3)=-5$

but also

$f(3)=55$

which is not acceptable for a function.