find the range of ? f(x) = |x| + 3

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f(x) = |x| + 3

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Answer 1 · 2018-03-14T16:15:47

#{y in R | y >= 3}#

The function #y=abs(x)# yields positive values of #y# for all values of #x#.

Adding #3# to this function moves its curve up by #3# units.

So, the range becomes all positive values of #y# from #3# onwards.

This can be mathematically stated as:

#"Range of"# #f(x)={y in R | y >= 3}#