Find the Horizontal Vertical asymptote with intercepts

The video tutorial covers simplifying expressions by factoring, comparing degrees of polynomials, and determining horizontal and vertical asymptotes. It explains how to check for holes in the graph and uses the quadratic formula and discriminant to find complex solutions. The tutorial concludes with finding intercepts and summarizing the key points.

What is the horizontal asymptote of a rational function when the degrees of the numerator and denominator are the same?

• The difference of the leading coefficients

• The sum of the leading coefficients

• The ratio of the leading coefficients

• There is no horizontal asymptote

How do you determine the vertical asymptote of a rational function?

• By finding the product of the coefficients

• By finding the sum of the coefficients

• By setting the denominator equal to zero

• By setting the numerator equal to zero

What is the purpose of checking for holes in the graph of a rational function?

• To calculate the Y intercept

• To find the horizontal asymptote

• To identify complex solutions

• To determine if any factors cancel out

What does a negative discriminant indicate when solving a quadratic equation?

• There is one real solution

• There are no real solutions, only complex

• The solutions are undefined

• There are two real solutions

How is the Y intercept of a rational function determined?

• By setting the numerator equal to zero

• By setting the denominator equal to zero

• By evaluating the constant terms

• By using the quadratic formula