Questions
, ([⋅] denotes the greatest integer function), 1 ≤ x < 4, then
a
range of f is 2 2,173
b
f is monotonically increasing in [1, 4]
c
the maximum value of f (x) is 17/3
d
the maximum value of f (x) is 17/4
detailed solution
Correct option is A
We have, f(x)=x2+1[x]When x ∈ [1, 2) then f (x) = x2 + 1 ⇒ Rf = [2, 5).When x ∈ [2, 3) then f(x)=x2+12⇒Rf=52,5.When x ∈ [3, 4) then f(x)=x2+13⇒Rf=103,173.∴ Rf = [2, 17/3).Talk to our academic expert!
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