easy · GMAT Quant
A signal processing filter processes an input level x according to the function f(x) = x|x| + 3x.
Which of the following statements correctly describes the symmetry of f(x) for all real inputs x?
- f(x) is an odd function because f(-x) = -f(x) for all real x.
- f(x) is an even function because f(-x) = f(x) for all real x.
- f(x) is neither even nor odd because f(-x) = f(x) + 3x.
- f(x) is an even function because the term |x| is non-negative for all real x.
- f(x) is neither even nor odd because f(0) = 0.
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