Rational Function Rules

Question 1

If a factor appears in the numerator only, its zero becomes a ____ in the graph

Answer 1

x-intercept

Question 2

If a factor appears in the denominator only, its zero becomes a ________ in the graph.

Answer 2

vertical asymptote

Question 3

If a factor appears in both the numerator and denominator with greater or equal multicity in the numerator, ts zero becomes a _____ in the graph.

Answer 3

hole

Question 4

If a factor appears in both the numerator and denominator with a greater multiplicity in the denominator, its zero becomes a _______ in the graph

Answer 4

vertical asymptote.

Question 5

define multiplicity

Answer 5

that amount of times a factor appears in the numerator or denominator.

Question 6

If the highest degree in the numerator is equal to that of the denominator, what is the Horizontal Asymptote?

Answer 6

Top leading coefficient / bottom leading coefficient

Question 7

If the highest degree in the numerator is less than that of the denominator, what is the Horizontal Asymptote?

Answer 7

Horizontal Asymptote = 0.

Question 8

If the highest degree in the numerator is greater than that of the denominator, what is the Horizontal Asymptote?

Answer 8

There is no Horizontal Asymptote

Question 9

How do you find the slant or Oblique asymptote

Answer 9

There must be no Horizontal Asymptote and how to divide the function.