Learn to identify if the discontinuity is a hole or asymptote

The video tutorial explains how to identify discontinuities in functions and determine if they are removable or non-removable. It begins with an introduction to discontinuities and domain restrictions, followed by a detailed explanation of how to factor expressions to identify removable discontinuities. The tutorial concludes with a practice session on factoring.

What is the point of discontinuity in the function X^2 - 4 / X + 2?

• X = 0

• X = 2

• X = -2

• X = 4

Which of the following describes the domain of the function X^2 - 4 / X + 2?

• All real numbers except X = -2

• All real numbers except X = 2

• All real numbers except X = 0

• All real numbers

How can you determine if a discontinuity is removable?

• By factoring the numerator and seeing if a common factor cancels with the denominator

• By finding the derivative of the function

• By graphing the function

• By checking if the denominator is zero

What happens to the function X^2 - 4 / X + 2 when X + 2 is factored out?

• The discontinuity becomes non-removable

• The function becomes a constant

• The function becomes undefined

• The discontinuity is removed

What is the next step after identifying a removable discontinuity?

• Graph the function

• Find the limit of the function

• Rewrite the function without the removable discontinuity

• Differentiate the function