Final answer:
The range of the function y = (3/4)*x + 17 when the domain is {-12, -4, 8} is {8, 14, 23}.
Step-by-step explanation:
The range of a function represents all the possible values of the output (y) for the given input (x) in the domain. In this case, the function is y = (3/4)*x + 17, and the domain is {-12, -4, 8}.
To find the range, we need to substitute each x value from the domain into the function equation and calculate the corresponding y values:
When x = -12, y = (3/4)*(-12) + 17 = -9 + 17 = 8
When x = -4, y = (3/4)*(-4) + 17 = -3 + 17 = 14
When x = 8, y = (3/4)*8 + 17 = 6 + 17 = 23
Therefore, the range of the function is {8, 14, 23}.