How do you find the domain and range of $f(x)=|x^2-8x+7|$ ?

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Answer 1 · 2017-04-18T15:02:10

This can be written as $f(x)=|(x-7)(x-1)|$

But apart from that, $x$ has no limits, it can attain any value:
Domain : $-oo < x<+oo$

Because of the bars: $f(x)$ may never become negative, but it may be zero if $x=1orx=7$ :
Range : $0<=f(x)<+oo$

How do you find the domain and range of f(x)=|x^2-8x+7| f(x)=|x^2-8x+7| ?