Intermediate value theorem

Episode 23.

The intermediate value theorem. A function $f$ that is continuous on the interval $[a,b]$ takes on $[a,b]$ all intermediate values between $f(a)$ and $f(b)$. In other words, for any $v$ between $f(a)$ and $f(b)$, there exists $c \in [a,b]$ such that $f(c)=v$.

The same video on YouTube:
https://youtu.be/ll4QZDpScu8

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