Which statement correctly describes the domain and range of the function $f(x) = \lvert x \rvert$?

The domain is $[0, \infty)$ and the range is $(-\infty, \infty)$.

The domain is $(-\infty, \infty)$ and the range is $[0, \infty)$.

The domain is $(-\infty, \infty)$ and the range is $(-\infty, \infty)$.

The domain is $[0, \infty)$ and the range is $[0, \infty)$.

If $f(x) = \lvert x \rvert$ and $f(a) = 7$ for some number $a$, which of the following must be true about $a$?

The value of $a$ can be 7 or -7.