Determine the vertical asymptotes

The video tutorial covers the concepts of horizontal and vertical asymptotes, focusing on how to determine the domain of rational functions and find vertical asymptotes by setting the denominator to zero. It explains solving quadratics using factoring and the quadratic formula to identify asymptotes, and discusses complex asymptotes and domain restrictions.

What is the domain of a rational function?

• All real numbers except where the denominator is zero

• All real numbers except where the numerator is zero

• Only positive real numbers

• All real numbers

How do you find a vertical asymptote in a rational function?

• Set the denominator equal to zero

• Use the Pythagorean theorem

• Find the highest degree term

• Set the numerator equal to zero

What is the result of setting the denominator of a rational function to zero?

• It gives the horizontal asymptotes

• It gives the vertical asymptotes

• It gives the y-intercepts

• It gives the x-intercepts

What happens to the graph of a function as it approaches a vertical asymptote?

• It crosses the asymptote

• It approaches infinity or negative infinity

• It forms a parabola

• It becomes a horizontal line

Which method can be used to solve for vertical asymptotes when the expression is not factorable?

• Neither A nor B

• Both A and B

• Using the quadratic formula

• Completing the square

When using the quadratic formula to find vertical asymptotes, what is the discriminant used for?

• To find the horizontal asymptote

• To find the y-intercept

• To determine the number of real solutions

• To calculate the slope

How can the domain of a rational function be expressed?

• As all real numbers except where the denominator is zero

• As all real numbers except where the numerator is zero

• As only positive real numbers

• As all real numbers