rational functions

Question 0

Y=k/x

Answer 0

Inverse variation

Question 1

Y=kx

Answer 1

Direct variation

Question 2

Name the asymptotes of the graph of y=1/x

Answer 2

Y=0. And x=0

Question 3

What is the domain of f(x)=1/x

Answer 3

ARN except x=0

Question 4

What is the range of f(x)=1/x

Answer 4

ARN except y=0

Question 5

Describe the transformation: y=(1/x)-5

Answer 5

Down 5

Question 6

Describe the transformation: y=1/(x-5)

Answer 6

Right five

Question 7

Given y=N/D,

How do you find domain?

Answer 7

ARN And set D not=0

Question 8

How do you find pod?

Answer 8

Set canceled factors =0

Question 9

How do you find y intercepts

Answer 9

Set x=0 into both top bottom

Question 10

How do you find x intercepts

Answer 10

Set top=0 and solve for x

Question 11

How do you find vertical asymptotes

Answer 11

Set denom=0. (Use simplified)

Question 12

How do you find horizontal asymptotes

Answer 12

Compare degree of the top with degree of the bottom

Question 13

If degree top is greater than degree bottom, then horizontal asymptote is

Answer 13

Not existent

Question 14

If degree top is same as degree bottom then horizontal asymptote is

Answer 14

Y=Leading coefficient top over Leading coefficient bottom

Question 15

If degree top is less than degree bottom then horizontal asymptote is

Answer 15

Y=0

Question 16

When will there be a slant asymptote?

Answer 16

When degree top is one more than degree of the bottom

Question 17

How do you find a slant given that it does exist

Answer 17

Do the long division, set answer equal to y without remainder.