Find the range of the function $f(x) = 4x + 8$ for the given domain $D = \{-5, -1, 0, 6, 10\}$ The question is to find the range of each function for the given domain  $f(x)=4x+8$, $D=\{-5, -1, 0,6, 10\}$. Is the range just $R= \{-12,4,8,32,48\}$ or am I mistaken? Could you elaborate why my answers are correct?

Sure. The range (or image) of a function is just the set of all possible values of the function that you can get by plugging in values in the domain. If the domain is a finite list of numbers, you can find the range just by plugging in every number in the list, and removing duplicates.
