Question

Given the following absolute value function find the range.
ƒ(x) = |x + 5| - 8
Range: [5,∞)
Range: [-5,∞)
Range: [-8,∞)
Range: [8,∞)

Answer 1

By the definition of absolute value, $|x+5|\ge0$. So if the least number is 0, then the least number for $f(x)=|x+5|-8$ is -8. This means the range is $[-8,\infty)$