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Jake Sankey · Answer 1 · 2016-07-28T01:57:21+0000

The range is a set of all possible values of y.

The value of |x-8| is always positive or equal to 0, so the value of -|x-8| will always be negative or equal to 0. So, the greatest value of -|x-8| is 0 and the greatest value of -|x-8|+3 is 0+3=3.

The greatest value of y is 3, so the range is
$(-\infty,3]$ .

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