If the domain of the function f x = x 1 + x 2 , where x is greatest integer ≤ x , is [ 2 , 6 ) , then its range is

Question

If the domain of the function f x = x 1 + x 2 , where x is greatest integer ≤ x , is [ 2 , 6 ) , then its range is, 5 26 , 2 5 - 9 29 , 27 109 , 18 89 , 9 53, 5 26 , 2 5, 5 37 , 2 5 - 9 29 , 27 109 , 18 89 , 9 53, 5 37 , 2 5

MARKS App · Accepted Answer

Given: f x = x 1 + x 2 So, f x = 2 1 + x 2 ; x ∈ [ 2 , 3 ) f x = 3 1 + x 2 ; x ∈ [ 3 , 4 ) f x = 4 1 + x 2 ; x ∈ [ 4 , 5 ) f x = 5 1 + x 2 ; x ∈ [ 5 , 6 ) Hence, f x ∈ 5 37 , 2 5

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