Label the discontinuity of a rational functions with coefficients

The video tutorial discusses discontinuities in functions, focusing on identifying where a function is undefined and explaining interval notation. It covers simplifying functions to identify non-removable discontinuities, such as vertical asymptotes, and defines removable discontinuities, also known as holes. The tutorial concludes with a homework assignment related to these concepts.

Where is the function undefined according to the video?

• At x = 2

• At x = 3

• At x = 0

• At x = -3

What is the interval notation for all real numbers except where the function is undefined?

• (-∞, -3) ∪ (-3, ∞)

• (-∞, 3) ∪ (3, ∞)

• (-∞, 0) ∪ (0, ∞)

• (-∞, 2) ∪ (2, ∞)

Why is x = 2 not considered a discontinuity?

• Because it is a removable discontinuity

• Because it does not make the denominator zero

• Because it makes the denominator zero

• Because it makes the numerator zero

What is the simplified form of the function discussed in the video?

• 2 * (x + 2) / (x - 2)

• 2 * (x + 3) / (x - 3)

• 2 * (x - 3) / (x + 3)

• 2 * (x - 2) / (x + 2)

What is a vertical asymptote classified as?

• A simplification

• A hole

• A removable discontinuity

• A non-removable discontinuity