Step-by-step explanation:
since this is a continuous function with steady slope in that interval (here we have a line and a line has no gaps, and it does not change direction anywhere), we can simply calculate f(x) for the end points of the domain interval, and these f(x) values are then the end points of the range interval.
f(-1) = 3×-1 + 2 = -3 + 2 = -1
f(4) = 3×4 + 2 = 12 + 2 = 14
therefore, the range is between -1 and 14.
