If $f(x)$ is continuous in the interval $[3,5],f(3)=0,$ and $f(5)=3,$ can we use the Intermediate Value Theorem to conclude that $f(c)=2$ where $f(c)=2f(c)=23?$

Select the correct answer below:

Yes, the Intermediate Value Theorem guarantees that $f(c)=2.$

$No,$ the Intermediate Value Theorem does not guarantee this conclusion, but $f(c)=2$ could $be$ true and cannot $be$ ruled out.