What are removable and non-removable discontinuties

The video tutorial explains how to factor a rational expression and identify its discontinuities, both removable and non-removable. It covers the process of finding vertical and horizontal asymptotes and determining the domain and range of the function. The tutorial emphasizes the importance of factoring in simplifying expressions and understanding the behavior of graphs at points of discontinuity.

What is the first step suggested to solve the problem of finding discontinuities and asymptotes?

• Graph the function

• Factor the expression

• Calculate the derivative

• Integrate the function

Which of the following is a removable discontinuity in the given problem?

• X = -1

• X = 1

• X = 0

• X = -4

What is the vertical asymptote for the given function?

• X = -4

• X = 0

• X = -1

• X = 1

How is the horizontal asymptote determined for the given function?

• By setting the numerator equal to zero

• By comparing the leading coefficients of the same degree

• By finding the roots of the denominator

• By integrating the function

What is the range of the function, excluding which value?

• All real numbers except Y = 0

• All real numbers except Y = -1

• All real numbers except Y = 1

• All real numbers except Y = 2