Given rational function find the vertical asymptote and hole

The video tutorial covers the concept of vertical asymptotes in rational expressions, explaining how to find them by setting the denominator equal to zero. It introduces the idea of removable and non-removable discontinuities, clarifying that removable discontinuities, or holes, occur when factors can be canceled out. The tutorial also discusses graphing lines with discontinuities and finding X and Y intercepts, emphasizing that lines do not have asymptotes but can have holes where the function is undefined.

What is the first step in finding the vertical asymptote of a rational function?

• Set the numerator equal to zero

• Set the denominator equal to zero

• Factor the numerator

• Factor the denominator

What is a removable discontinuity in a rational function?

• A factor that can be canceled out

• A vertical asymptote

• A horizontal asymptote

• A point where the function is undefined

How is a non-removable discontinuity represented on a graph?

• As a solid line

• As a dashed line

• As a hole

• As a dotted line

What is the domain of a function with a discontinuity at x = -3?

• All real numbers except x = 0

• All real numbers except x = 3

• All real numbers

• All real numbers except x = -3

How do you find the y-intercept of a rational function?

• Set x to zero and solve for y

• Set y to zero and solve for x

• Set the numerator to zero

• Set the denominator to zero