Final answer:
To find which value is not in the range of the function y=(1/3)x+5 with domain {-12,9,18}, we calculate y for each x, resulting in a range of {1, 8, 11}. Any value outside of these is not in the range.
Step-by-step explanation:
The question pertains to identifying which value is not in the range of a given function when the domain is specified. The function in question is y = (1/3)x + 5, and the domain provided is {-12, 9, 18}. To determine the range, we calculate the value of y for each x in the domain:
- For x = -12: y = (1/3)(-12) + 5 = -4 + 5 = 1
- For x = 9: y = (1/3)(9) + 5 = 3 + 5 = 8
- For x = 18: y = (1/3)(18) + 5 = 6 + 5 = 11
Therefore, the range of the function for the given domain is {1, 8, 11}. Any number that is not one of these three is not an element of the function's range for the specified domain.