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홈 / 라이브러리 / CSAT (Suneung) essentials: original practice / AI 플래시카드

What is the Intermediate Value Theorem (IVT) and how is it used to locate roots of continuous functions?

덱 'CSAT (Suneung) essentials: original practice'의 플래시카드.

정답

If $f$ is continuous on $[a, b]$ and $k$ is between $f(a)$ and $f(b)$, there exists at least one $c \in (a, b)$ such that $f(c) = k$.

해설

If $f(a)$ and $f(b)$ have opposite signs ($f(a) \cdot f(b) < 0$), IVT guarantees at least one root $c \in (a, b)$ where $f(c) = 0$.

AI 생성 콘텐츠 · 감수: Ada