Function Parity

실제 시험에서는 이렇게 출제됩니다

이 개념을 다룬 실제 CSCA 기출문제입니다. 답을 펼치기 전에 먼저 직접 풀어 보세요.

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．$y=x\sin x$
   정답 및 풀이 보기

   정답: B

   Answer: B For $f(x)=x+x^3$, $f(-x)=-f(x)$, so it is odd. Choose B.
   CSCA Math December 2025 Past Paper 전체에서 보기
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, $f(-x) = -f(x)$
   정답 및 풀이 보기

   정답: 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).
   CSCA Math June 2026 Past Paper 전체 풀기 — 시간 측정 및 채점