# Intermediate Value Theorem

Students get to adjust the second segment of a piecewise linear function on an interval $[a,b]$ to make it continuous or not. And they get to choose a value of $c$ between $f(a)$ and $f(b)$. The graph then shows them a value of $x$ for which $f(x)=c$, as guaranteed by the Intermediate Value Theorem. Unfortunately, it gives a value of $x$ even if the function is discontinuous as long as $c$ is not within the jump discontinuity even though this is not guaranteed by the theorem. Perhaps a warning should appear saying the $x$ occurs by luck even though it is not guaranteed by the theorem.
Identifier:
http://demonstrations.wolfram.com/IntermediateValueTheorem/
Rating:
Creator(s):
Izidor Hafner
Cataloger:
Philip Yasskin
Publisher:
Wolfram Demonstrations Project
Rights:
Wolfram Demonstrations Project