ARTIKEL SEINDONESIA

The intermediate value theorem says that if a function, $f$ , is continuous over a closed interval $[a,b]$ , and is equal to $f(a)$ and $f(b)$ at either end of the interval, for any number, c, between $f(a)$ and $f(b)$ , we can find an $x$ so that $f(x)=c$ .

This means that if a continuous function's sign changes in an interval, we can find a root of the function in that interval. For example, if $f(1)=-1$ and $f(2)=2$ , we can find an $x$ in the interval $[1,2]$ that is a root of this function, meaning that for this value of x, $f(x)=0$ , if $f$ is continuous. This corollary is called Bolzano's theorem.^[1]

References

↑ Weisstein, Eric. "Bolzano's Theorem". Wolfram Research. Retrieved 26 November 2017.

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[1] Weisstein, Eric. "Bolzano's Theorem". Wolfram Research. Retrieved 26 November 2017.

[1]

Intermediate value theorem

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