3

Question 1

rational expression

Answer 1

a fraction that is the quotient of 2 polynomials

Question 2

rational function

Answer 2

a function defined by a rational expression

Question 3

asymptotes

Answer 3

aids in describing and sketching graphs
not part of the graphs themselves
points the graph approaches but never crosses

Question 4

oblique/slant asymptote

Answer 4

numerator is of degree exactly one greater than the denomina-tor, then there may be an oblique (or slant) asymptote.
*divide the num by the den, disregard remainder and set linear portion equal to y
*function must be in lowest terms

Question 5

nonvertical asymptotes

Answer 5

can only occur once in a rational function
may be crossed

Question 6

H.A

Answer 6

if y approaches b as |x| approches infinity, y = b is a H.A
den > num: y = 0
num > den: no H.A
den = num: coefficient of num/ coefficient of den

Question 7

V.A

Answer 7

find zero of denominator
if |f(x)| approaches infinity as x approaches a, x = a is V.A

Question 8

x intercepts for rational function

Answer 8

set num equal to zero
solve

Question 9

solve for nonvertical asymptote intersection

Answer 9

solve f(x) = b for H.A
solve f(x) = mx + b for oblique asymp

Question 10

*graph behavior

Answer 10

based on exponent of