Questions
The range of the function is
a
1,3
b
1,5
c
3,5
d
None of these
detailed solution
Correct option is B
Clearly, from the graph, the range is 1,f-1≡1,5.If x<1,fx=-x-1-x-2=2x+3.In this interval, f(x) is decreasing.If 1≤x<2,fx=x-1-x-2=1.In this interval f(x) is constantIf 2≤x≤3,fx=x-1+x-2=2x-3.In this interval f(x) is increasing.∴ max fx=the greatest among f-1 and f3=5, min fx=f1=1So, range = 1 5Talk to our academic expert!
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Find the range of f(x)
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