FunctionHard
Question
Let f be a real valued function defined by f(x) = 
, then the range of f(x) is :
, then the range of f(x) is :Options
A.R
B.[0, 1]
C.[0, 1)
D.[0, 1/2)
Solution
f(x) = 
if x ≥ 0, f(x) =
; f(x) ∈ 
........(i)
f(x) ∈
if x < 0, f(x) =
= 0 .........(ii)
∴ range of f(x) is (i) ∪ (ii) =
if x ≥ 0, f(x) =
; f(x) ∈ ........(i)f(x) ∈
if x < 0, f(x) =
= 0 .........(ii)∴ range of f(x) is (i) ∪ (ii) =
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