Final answer:
The range of function f, based on the given points, is [9, 57], which represents the lowest and highest output values of the function.
Step-by-step explanation:
The range of a function is the set of all possible output values it can produce. Looking at the given points for the function f, which are (1,12), (2,57), (-1, 12), and (5,9), we can see that the second elements of the ordered pairs, which are the output values (or y-values), determine the range. To find the range, we simply list these y-values and find the lowest and highest numbers, which are 9 and 57, respectively. Therefore, the range of function f is [9, 57].