What is the domain and range of $f(x) = x^2 - 12$ ?

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Answer 1 · 2016-01-23T09:06:55

The domain is the set of real numbers so $D(f)=R$ .

The range can be found by noticing that

$f(x)+12=x^2>=0=>f(x)+12>=0=>f(x)>=-12$

so the range is $R(f)=[-12,+oo)$

What is the domain and range of f(x) = x^2 - 12f(x) = x^2 - 12?