What is the range of the function f(x) = x|x|, x ≠ 0?
Explanation:
As we know |x| = xx≥0-xx<0
∴ f(x) = x|x| = xxx≥0x-xx<0
= 1x≥0-1x<0
∴ Range = {-1, 1}.
Hence, option (c).
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