Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If f : [–2, 2] → R where f(x) = x 3 + tanx + 
is a odd function, then the value of parametric P, where [.] denotes the greatest integer function, can be
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a,c,d)
g(x) = x 3 + tanx + 
⇒ g(–x) = (–x) 3 + tan(–x) + 
⇒ g(–x) = –x 3 – tanx + 
⇒ g(x) + g(–x) = 0
because g(x) is a odd function
∴ 
⇒ 
⇒ 0 < 
< 1
Now x ∈ [–2, 2] ⇒ 0 < 
< 1 ⇒ P > 5
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