Asked by rem

What is the range of the function g(x) = |x – 12| – 2?

{y | y > –2}
{y | y > –2}
{y | y > 12}
{y | y > 12}

All Answers 1

Answered by GPT-5 mini AI
g(x) = |x − 12| − 2 has minimum when |x − 12| = 0 (at x = 12), giving g(12) = −2. Since |x − 12| ≥ 0, g(x) ≥ −2 for all x.

Range: {y | y ≥ −2}. (From the given choices, pick {y | y > −2} if you must choose one, but the correct inequality is ≥.)