Rational Functions Division

What are the x-intercepts?

• x= 2/3

• x= 4, x = -2

• x= -8, x = 1

• x= -4, x = 2

What are all of the ways to solve for Slant asymptotes

• Numerator is one degree less than denominator use long division

• Numerator is one degree higher than denominator use long division

• Yay remainder! There is a slant

  *check calculator

• Yay no remainder!

  There is a slant

  *check calculator

Which of the following relate to Vertical Asymptotes, how to solve and how to answer, etc.

• Denominator set to zero

• Numerator set to zero

• X=

• y=

• Check calculator for vertical asmptotes

How can Horizontal Asymptotes be answered

• BOTN= 0

• Numerator > Denominator = None

• Degrees=

  divide leading coefficients, y=

• BOBO = none

• Numerator < Denominator = y=0

Find the vertical asymptote(s) (if any) of the graph of the function.
 3x / (x² - 9)

• x=3

• x=0

• None

• X=3, x=-3

Find the vertical asymptote(s).

• x = 3 and x = -7

• x = 3

• x = -7

• x = -4

Where is the vertical asymptote?

• x=3

• DNE

• x=8

• y=3

What is the horizontal asymptote to this function?

• x=4

• y=0

• none

• y=4

Determine the x-intercept(s) of this graph?

• (-2,0) and (2,0)

• (-2,0)

• (3,0)

• (2,0) and (3,0)

What do you know about the slant (oblique) asymptotes of this function?

• It does not have an oblique asymptote.

• It has an oblique asymptote; you would use BOBO BOSCO BOTNO to find the oblique asymptote.

• It has an oblique asymptote; you would find it by using long division to divide the numerator by the denomenator.

• It has an oblique asymptote; you would find it by finding the values of x that make the denomenator zero.