Write the domain and the range of the function
Question:

Write the domain and the range of the function, f(x) = –|x|.

Solution:

(i) Domain

$|x|$ is defined for all real values.

Hence $-|x|$ is also defined for all real values.

The domain is R.

(ii) Range

Range for $|x|$ is $[0, \infty)$

Therefore, range for $-|x|$ is $(-\infty, 0]$.