Let f : [–2, 2] → R be a function if, for x ∈ [0, 2] f (x) …

Maths Functions, Limits, Continuity and Differentiability General Subjective Type

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Let f : [–2, 2] → R be a function if, for x ∈ [0, 2]

f (x) =

define f for x ∈ [– 2, 0] when

(i) f is odd function (ii) f is an even function

(where [ · ] is the greatest integer function)

Text Solution

Verified by Experts

The correct answer is:

CHECK THE SOLUTION.

Sol. fo (x) = – x tan x, – π /2 ≤ x ≤ 0; – π /2 [–x]; – 2 ≤ x < – π /2; fe (x) = x tan x; – π /2 ≤ x ≤ 0;

π /2 [–x], – 2 ≤ x < – π /2

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