Learn how to identify the discontinuities as removable or non removable

The video tutorial explains how to identify discontinuities in a function by setting the denominator equal to zero. It distinguishes between removable and non-removable discontinuities, explaining that removable ones are holes and non-removable ones are asymptotes. The tutorial demonstrates factoring the numerator and denominator to simplify the function and identify removable discontinuities. It concludes with a discussion on graph analysis, highlighting the presence of asymptotes and holes.

What is the first step in identifying discontinuities in a function?

• Integrate the function

• Set the denominator equal to zero

• Set the numerator equal to zero

• Find the derivative of the function

How do you determine if a discontinuity is removable?

• By checking if the numerator can be factored out

• By setting the numerator equal to zero

• By checking if the denominator is a constant

• By finding the limit of the function

What type of discontinuity is present if it cannot be factored out?

• Continuous

• Differentiable

• Non-removable

• Removable

What does a removable discontinuity represent on a graph?

• A vertical asymptote

• A peak

• A horizontal asymptote

• A hole

What is the graphical representation of a non-removable discontinuity?

• A point of inflection

• A horizontal line

• A hole

• A vertical asymptote