The range of the functionf(x)=sin[xe{x}+x2–x], xϵ(–1,∞)where[x]denotes the greatest integer function is
Φ
[0,1]
[−1,1]
R
Find the range of the given expression
Given, f(x)=sin[xe{x}+x2–x]
For, sin function range is
-1≤sinθ≤1∀θ∈R
The given function is also in the form of sinθ
So, the range of f(x) is [-1,1].
Hence, the correct option is C, [−1,1].