One of the easiest ways to find out the range for a particular function is to plug in values from the domain. For example, your domain is x > -2. It should be obvious that anything larger than -2 can be used as an input for this function.
So, since -2 is not included in the input, I would still plug it in and it will show us the value of outputs (range) that are less than our answer. This is true because this linear function has a negative slope (-6).
F(-2) = -6(-2) +2
F(-2) = 12 + 2
F(-2) = 14
Therefore the range of this function has to be less than (but not equal to) 14.
y < 14
