Question

Give the domain and range of the following function: S(x) = -5|x|

Answer 1

The domain is any number that the function can evaluate. You can take the absolute value of anything, so the domain is just R, the whole number line. The range is set of values the function can spit out. When you take the absolute value of any number, it becomes positive. For example, |3| = 3, |-2| = 2. But since your function has a negative sign in the front, all of the positive numbers will become negative. So the range is (-infinity, 0].