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# If for any number N, f(N) is defined as the least integer

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Re: If for any number N, f(N) is defined as the least integer [#permalink]
derekgmat wrote:
If for any number N, f(N) is defined as the least integer that is greater than or equal to N^2, then f(-1.1) =

(A) -2
(B) -1
(C) 0
(D) 1
(E) 2

Here are some examples for the values of the function f:

f(0) = 1 (since 0^2 = 0 and the least integer that is greater than or equal to 0 is 1)

f(2) = 5 (since 2^2 = 4 and the least integer that is greater than or equal to 4 is 5)

f(3/2) = 3 (since (3/2)^2 = 9/4 = 2.25 and the least integer that is greater than or equal to 2.25 is 3)

f(-7/3) = 6 (since (-7/3)^2 = 49/9 ≈ 5.44 and the least integer that is greater than or equal to 5.44 is 6)

Therefore, since (-1.1)^2 = 1.21. f(-1.1) = 2 since the least integer that is greater than or equal to 1.21 is 2.