Hole Asymptote or continuous?

The video tutorial explains how to identify discontinuities in rational functions. It begins by introducing the concept of discontinuities and the importance of showing work in free response problems. The instructor discusses the challenges of factoring and explains that the given function cannot be factored under real numbers. The process of finding discontinuities involves setting the denominator to zero and solving, but in this case, no real solutions exist, indicating no discontinuities. The tutorial concludes by affirming that the domain is all real numbers, with no holes or asymptotes.

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