Find the oblique asymptote and x and y intercepts of rational function

The video tutorial explains the concept of asymptotes, focusing on horizontal, vertical, and slant asymptotes. It covers how to determine the presence of these asymptotes based on the degrees of the numerator and denominator in a rational function. The tutorial also demonstrates the process of finding X and Y intercepts, including factoring quadratics and handling undefined values.

What is the horizontal asymptote when the degree of the numerator is larger than the degree of the denominator?

• No horizontal asymptote

• y = infinity

• y = 1

• y = 0

If a function has no horizontal asymptote, what might it have instead?

• An exponential growth

• A vertical asymptote

• A hole or a slant asymptote

• A constant function

How do you find a slant asymptote?

• By integrating the function

• By dividing the numerator by the denominator

• By finding the derivative

• By setting the numerator equal to zero

What is the x-intercept of a function if the quadratic can be factored as (x - 1)(x + 3)?

• x = 1 and x = -3

• x = 1/2

• x = -1 and x = 3

• x = 0

Why might the y-intercept of a function be undefined?

• Because the function is linear

• Because the denominator is zero when x is zero

• Because the numerator is zero

• Because the function is quadratic