Identify the horizontal and vertical asymptotes of a rational function

The video tutorial covers polynomial order, focusing on arranging terms in descending order by degree. It explains how to determine horizontal and vertical asymptotes, emphasizing the importance of setting the denominator to zero for vertical asymptotes. The tutorial also addresses the use of the quadratic formula for non-factorable equations to find X intercepts. Finally, it discusses calculating the Y intercept, noting the absence of a constant term in some cases.

What is the first step in determining the horizontal asymptote of a rational function?

• Factor the denominator completely.

• Compare the leading coefficients of the numerator and denominator.

• Arrange the polynomial terms in ascending order.

• Set the numerator equal to zero.

How do you find the vertical asymptotes of a rational function?

• Use the quadratic formula.

• Set the numerator equal to zero.

• Set the denominator equal to zero.

• Compare the degrees of the numerator and denominator.

What should you do if a polynomial is not factorable when finding intercepts?

• Multiply by a scalar.

• Set the polynomial equal to one.

• Use the quadratic formula.

• Ignore the polynomial.

What is the result when there is no constant term in the numerator for finding the Y intercept?

• The Y intercept is undefined.

• The Y intercept is one.

• There is no Y intercept.

• The Y intercept is zero.

What is the significance of the quadratic formula in solving non-factorable polynomials?

• It determines the horizontal asymptote.

• It is used to find the leading coefficient.

• It helps in finding the degree of the polynomial.

• It provides the real roots of the polynomial.