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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