Answer: To find the range of the function rule y = 5x - 2 for the given domain {-1.2, 0, 4}, we can substitute each value from the domain into the function and determine the corresponding output values.
For x = -1.2:
y = 5(-1.2) - 2
y = -6 - 2
y = -8
For x = 0:
y = 5(0) - 2
y = 0 - 2
y = -2
For x = 4:
y = 5(4) - 2
y = 20 - 2
y = 18
Therefore, when x takes the values from the given domain, the function outputs the following values: {-8, -2, 18}.
Hence, the range of the function for the given domain {-1.2, 0, 4} is {-8, -2, 18}.