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How do you find the range of this?

How do you find the range of this?-example-1
User Sun Lee
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1 Answer

2 votes
you split the function into its three sections and calculated each one independently, afterwards you join the resulting sets

-x if x<-1:
(1,∞)

0 for -1≤ x ≤ 1:
{0}

x if x>1:
(1,∞)

range in total:
(1,∞) ∪ {0} ∪ (1,∞)=
(1,∞) ∪ {0}=
y∈R
User Matewilk
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6.3k points