Answer
See explanations.
Work Step by Step
The intermediate value theorem requires a continuous function between the two test points, while $f(x)=\frac{1}{x}$ has a discontinuity (vertical asymptote) at $x=0$.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.