
               ### Instruction: help me answer this question Find the domain and range of the following real function., think step by step
               ### Assistant:  , The answer is Given, f(x) = –|x|, x ∈ R 
The domain of f is R because f(x) is defined for x ∈ R. 
The range of f(x) = –|x| is all real numbers except positive real numbers. 
Therefore, the range of f is given by (–∞, 0].
