Learn how to determine the asymptotes and intercepts

The video tutorial covers the concepts of horizontal and vertical asymptotes, focusing on when to avoid division and how to identify asymptotes based on polynomial degrees. It explains the process of finding zeros in polynomials, including the use of factoring and the quadratic formula, and distinguishes between real and complex zeros. The tutorial also provides methods for finding X and Y intercepts in rational expressions, emphasizing shortcuts and key principles.

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

• y = 1

• x = 0

• y = 0

• x = 1

When do vertical asymptotes occur in a rational function?

• When the degrees of numerator and denominator are equal

• When the denominator is zero

• When the numerator is zero

• When both numerator and denominator are zero

How many real zeros does a polynomial raised to the third power have?

• One

• Two

• Three

• None

What method can be used to find the X intercepts of a rational expression?

• Use the cube root method

• Use the quadratic formula

• Set the numerator equal to zero

• Set the denominator equal to zero

What is the Y intercept of a function when X is equal to zero?

• The constant term of the numerator

• The constant term of the denominator

• Zero

• One