To determine which value is not an element of the function's range, we first need to find the range of the function defined by the formula y = (1/3)x + 5. The range is the set of all possible values of y for the given domain.
The domain you provided is [-12, 9, 18]. However, this domain does not seem to be written correctly. A domain is typically given as a range of values, and it should not include commas. I will assume you meant the domain to be [-12, 9, 18] as separate values. In that case, we can calculate the corresponding range.
For each value in the domain, calculate the corresponding y value using the formula:
When x = -12:
y = (1/3)(-12) + 5 = -4 + 5 = 1
When x = 9:
y = (1/3)(9) + 5 = 3 + 5 = 8
When x = 18:
y = (1/3)(18) + 5 = 6 + 5 = 11
So, the range of the function for the given domain is {1, 8, 11}.
Now, to determine which value is not an element of the range, we can compare it to the range values:
3 is not an element of the range {1, 8, 11}, so 3 is not in the range of the function.
Therefore, 3 is the value that is not an element of the function's range.