3. Consider the function f = R-R defined by F(x) = -|x|
a) Find the domain and range of f.
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We have, f(x)=∣x−1∣. Clearly, f(x) is defined for all x∈R.
So, domain (f)=R
Also, f(x)=∣x−1∣≥0 for all x∈R.
So, range (f)=[0,∞]
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