Find the domain and range of each of the following real valued functions:
f(x) = –|x|
f(x) = –|x|
We know 
Now, we have 
Hence, f(x) is defined for all real numbers x.
Thus, domain of f = R
When x < 0, we have –|x| < 0
Hence, f(x) < 0
When x ≥ 0, we have –x ≤ 0.
Hence, –|x| ≤ 0 ⇒ f(x) ≤ 0
∴ f(x) ≤ 0 or f(x) ∈ (–∞, 0]
Thus, range of f = [0, ∞)
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