FunctionHard
Question
Domain and range of f(x) = 
is
is Options
A.D : [1 , 3] ; R : |√2, √10|
B.D : [1 , 5] ; R : |√2, √10|
C.D : (-∞, 1] ∪ [3, ∞), R : [1, √3]
D.D : [1 , 5], R : [1, √3]
Solution
f(x) = 
D : x - 1 ≥ 0 & 3 - x ≥ 0 ⇒ x ∈ [1, 3]
Range : f′(x) =
or f′(x) = 0 at x =
f′
> 0 & f′ 
< 0 ⇒ maxima at x = 
Range : |√2, √10|
D : x - 1 ≥ 0 & 3 - x ≥ 0 ⇒ x ∈ [1, 3]
Range : f′(x) =
or f′(x) = 0 at x =
f′
> 0 & f′ < 0 ⇒ maxima at x = Range : |√2, √10|
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