Rational functions: how to find...

Question 1

horizontal asymptote

Answer 1

degree rules

Question 2

vertical asymptote

Answer 2

put demonimator equal to 0

what wasn’t cancled for the hole

Question 3

hole

Answer 3

factor numerator and denominator, and cancel

Question 4

x-inter

Answer 4

set numerator equal to 0

after hole

Question 5

y-inter

Answer 5

replace all x’s with 0’s and solve

just put into calculator

Question 6

end behavior

Answer 6

• as x goes to infinity, f(x) goes to hori asyn
• as x goes to negative infinity, f(x) goes to hori asyn

Question 7

domain

Answer 7

all x values expect asymptotes

Question 8

range

Answer 8

all y values expect hole and horizontal asymptote

Question 9

standard form of a circle

Answer 9

(x-h)^2 + (y-k)^2 = r^2

Question 10

general form of a circle

Answer 10

x^2 + y^2 + bx + cy + d = 0

Question 11

the question: f(x) = -15x-4, f(7) is not…

Answer 11

IS NOT THE DIFFRENCE QUOTIENT!!! JUST THE NUMBER

diffrence quoitent questions will have “diffrence quoitent” or formula

Question 12

the slope for a perpendicular line is the ____ of the orignal slope

Answer 12

oppoiste reciplocal

Question 13

horizontal aysm

if the degrees are the same…

Answer 13

y=1

Question 14

horizontal aysm

If the degree of the demoniator is bigger

Answer 14

y=0

Question 15

horizontal aysm

If the degree of the numerator is bigger

Answer 15

there is no hori aysm