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22 votes
22 votes
For y=|x|, explain why the range of the graph is not all real numbers.

User Wfgeo
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1 Answer

11 votes
11 votes

The range is the set of all possible y-values that could come from the equation y = |x|.


Since the absolute value only results in 0 or positive numbers, the range cannot include any negative real numbers.

|3| = 3

|0| = 0

|-3| = 3

Therefore the range is not all real numbers, since all negative real numbers are excluded from the range.

The range is y ≥ 0.

User Sharmayne
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