Function Parity

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1. CSCA Math December 2025 Past Paper
   Which of the following functions is odd?
   • A．$y=\cos x$
   • B．$y=x+x^3$
   • C．$y=x^4$
   • D．$y=x\sin x$
   Lihat jawaban & pembahasan

   Jawaban: B

   Answer: B For $f(x)=x+x^3$, $f(-x)=-f(x)$, so it is odd. Choose B.
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2. CSCA Math June 2026 Past Paper
   Which of the following statements about the odd function $y = f(x)$ is incorrect?
   • A．The domain of the function is symmetric about the origin
   • B．In the domain of the function, $f(-x) = f(x)$
   • C．The graph of the function is symmetric about the origin
   • D．In the domain of the function, $f(-x) = -f(x)$
   Lihat jawaban & pembahasan

   Jawaban: B

   For an odd function, both the domain and the graph are symmetric about the origin, so (A) and (C) are true; by definition $f(-x) = -f(x)$, so (D) is true. Statement (B) is the property of an even function and is therefore the incorrect statement. Choose (B).
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