Question

The function g(x) = |x – 6| – 8 is graphed. What is the range?

{y | y > –8}
{y | y ≥ –8}
{y | y < –8}
{y | y is all real numbers}

Answer 1

g(x) = |x − 6| − 8. Since |x − 6| ≥ 0 for all x, g(x) ≥ −8, and g(6) = −8, so the range is {y | y ≥ −8}.