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

Apr 18, 2017

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

#### Explanation:

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

Because of the bars: $f \left(x\right)$ may never become negative, but it may be zero if $x = 1 \mathmr{and} x = 7$:
Range : $0 \le f \left(x\right) < + \infty$