Understanding Rational Expressions and Asymptotes

The video tutorial covers graphing rational expressions, focusing on identifying vertical and horizontal asymptotes, plotting points, and understanding graph behavior. It explains how negative signs and shifts affect graphs and discusses non-zero horizontal asymptotes. The tutorial concludes with a final example and a brief mention of related topics like holes and slanted asymptotes.

What is the first step in graphing a rational expression?

• Identify the horizontal asymptote

• Set the numerator equal to zero

• Establish the vertical asymptote

• Plot the y-intercept

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

• Calculate the y-intercept

• Find the highest exponent

• Set the denominator equal to zero

• Set the numerator equal to zero

What is the first step in graphing a rational expression?

• Set the numerator equal to zero

• Plot the y-intercept

• Establish the vertical asymptote

• Identify the horizontal asymptote

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

• Set the numerator equal to zero

• Set the denominator equal to zero

• Find the highest exponent

• Calculate the y-intercept

What is the first step in graphing a rational expression?

• Plot the y-intercept

• Identify the horizontal asymptote

• Set the numerator equal to zero

• Establish the vertical asymptote

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

• Set the numerator equal to zero

• Calculate the y-intercept

• Set the denominator equal to zero

• Find the highest exponent

What determines the horizontal asymptote in a rational expression?

• The constant term

• The exponents of the terms

• The sum of the numerator and denominator

• The coefficients of the terms

If the degree of the numerator is less than the degree of the denominator, what is the horizontal asymptote?

• 1

• Undefined

• 0

• Infinity

What determines the horizontal asymptote in a rational expression?

• The constant term

• The exponents of the terms

• The coefficients of the terms

• The sum of the numerator and denominator

If the degree of the numerator is less than the degree of the denominator, what is the horizontal asymptote?

• Undefined

• Infinity

• 0

• 1