Question

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

Answer 1

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

Explanation:

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`