D.H. Ratey

Question 1

How do you find the domain of a rational function?

Answer 1

Domain is the set of all real values of x except those that cause there to be a zero in the denominator.

Question 2

How do you determine holes in a rational function?

Answer 2

A hole is a place where the graph does not exist. After factoring, if a factor cancels, there is a hole. Set factor equal to zero to find x, then plug into new simplified function to find y.

Question 3

How do you find roots of a rational function?

Answer 3

Set the top equal to zero and solve for x.

Question 4

How do you find vertical asymptotes of a rational function?

Answer 4

Set the bottom equal to zero and solve for x.

Question 5

tangency in rational functions

Answer 5

If a factor in the top is raised to an even number, the function will bounce/touch/be tangent at that root.

Question 6

Togetherness of a rational function

Answer 6

If there is a factor on bottom that is raised to an even number, the graphs behavior at that asymptote will be coming together.

Question 7

y intercept

Answer 7

set x=0 and solve for y

Question 8

End Behavior Asymptotes-Degree bigger on bottom

Answer 8

y=0

Question 9

End Behavior Asymptotes-Degree bigger on top

Answer 9

oblige asymptote, use long division to determine equation.

Question 10

End Behavior Asymptotes-Degree is even

Answer 10

y=ratio of leading coefficients.