Graphing Rationals

A BOBO graph has a Horizontal Asymptote at:

• It does not have an HA

• y = 0

• y = 2

• y = 1

A BOTN graph as a Horizontal Asymptote at

• y = 0

• y = 1

• y = 2

• It does not have an HA

An EATS DC graph has a Horizontal Asymptote at

• It does not have one

• It depends on the coefficients

• y = 1

• y = 0

All points of discontinuity (PODs) create either a Vertical Asymptote or a Hole.

• True

• False

A hole is created when we cancel out a POD factor.

• True

• False

How do we know if we have a Vertical Asymptote.

• From BOBO BOTN EATS DC

• It is created by a factor that does not get canceled out.

• We do synthetic division.

• It is created by a factor that gets canceled out.

We determine a hole in a graph by:

• Using the x value from the factor that didn't cancel out.

• Using BOBO BOTN EATS DC

• Taking the x value of the POD factor, that canceled, and plugging it into our simplified version of our rational function.

• We divide the coefficients.

If you only have one POD then you will have a hole and a vertical asymptote.

• True

• False

BOBO graphs are the only graphs that might have a Slant Asymptote

• True

• False

This rational function is a:

• BOBO

• BOTN

• EATS DC

• Linear