Identify the intervals where the function $h(x) = |x + 4|$ is one-to-one and thus has an inverse.

$\left\lbrack4,\infty\right)$

$\left(-\infty,-4\right\rbrack\text{and}\left\lbrack4,\infty\right)$

$\left(-\infty,-4\right\rbrack\text{and}\left\lbrack-4,\infty\right)$

$\left(-\infty,4\right\rbrack\text{and}\left\lbrack4,\infty\right)$