Answer
The function is a one-to-one function.
Work Step by Step
In order for a function to be one-to-one:
For each value of $x$, there must be a unique $y$ value paired with it and every element of the domain (D) must be paired with a unique element of the range (R).
We are given:
$\{(-2,5),(-1,3),(3,7),(4,12)\}$
Notice that we do not have two different $x$ values that give the same $y$ values. Therefore, the function is a one-to-one function.