Rational Functions Review

When graphing rational functions, the first step (after factoring) is to find the vertical asymptotes.

• True

• False

You can find holes in a graph by:

• determining what factors cancel out, and what makes those factors = 0

• what makes the numerator = 0

• what makes the denominator = 0

• constant/constant

• leading coefficient/leading coefficient
  

You can find the vertical asymptote in a graph by:

• determining what factors cancel out, and what makes those factors = 0

• what makes the numerator = 0

• what makes the denominator = 0

• constant/constant

• leading coefficient/leading coefficient
  

You can find the x - intercepts in a graph by:

• determining what factors cancel out, and what makes those factors = 0

• what makes the numerator = 0

• what makes the denominator = 0

• constant/constant

• leading coefficient/leading coefficient
  

You can find the y - intercepts in a graph by:

• determining what factors cancel out, and what makes those factors = 0

• what makes the numerator = 0

• what makes the denominator = 0

• constant/constant

• leading coefficient/leading coefficient
  

You can find the horizontal asymptotes in a graph by comparing the __________ of the numerator and denominator

It is possible to have a slant asymptote and a horizontal asymptote on the same graph.

• True

• False

You can only have one vertical asymptote in a graph.

• True

• False

You can have more than one horizontal asymptote in a graph.

• True

• False

What has to be true for a function to have a slant asymptote?

Evaluate responses using AI:

OFF