Function Parity

Comment l'examen réel l'évalue

Des questions tirées de vraies épreuves CSCA qui portent sur ce concept. Essayez de les résoudre avant d'afficher la réponse.

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．$y=x\sin x$
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   Réponse : B

   Answer: B For $f(x)=x+x^3$, $f(-x)=-f(x)$, so it is odd. Choose B.
   Voir dans l'épreuve complète CSCA Math December 2025 Past Paper
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, $f(-x) = -f(x)$
   Afficher la réponse et la solution

   Réponse : 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).
   Faire l'épreuve complète CSCA Math June 2026 Past Paper — chronométrée et notée