Question Video: Discussing the Continuity of a Polynomial Function Mathematics • Second Year of Secondary School

Video Transcript

What can be said about the continuity of the function 𝑥 cubed plus five 𝑥 squared minus two 𝑥 plus two?

Given the general rule that a polynomial function is continuous across its domain and the domain of our function is all of the real numbers, we can almost immediately give the following answer. The function is continuous on ℝ, the real numbers, because it is a polynomial. This is, in fact, the quick answer to our question.