What is the domain and range of $y=-abs(x-5)$ ?

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What is the domain and range of $y=-abs(x-5)$ ?

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Answer 1 · 2018-07-06T22:56:49

There is no restriction on $x$ , so the domain is $-oo < x<+oo$

Explanation:

Range:
The absolute bars mean that $|x-5|$ cannot be negative, so the function with the extra minus outside the bars cannot be positive.
$- oo < y<=0$
Maximum value will be reached at $(5,0)$
graph{-|x-5| [-3.88, 16.12, -7.64, 2.36]}

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What is the domain and range of $y=-abs(x-5)$ ?

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