math 2: rational functions Flashcards
1
Q
rational function:
A
f(x) = p(x)/ q(x)
p(x) and q(x) are polynomial functions and q(x) ≠ 0
2
Q
as a general rule, graphs of rational functions are not
A
continuous
3
Q
a point of discontinutiy occurs at any value of
A
x where q(x) = 0
4
Q
if p(x) & q(x) can be factored so that f(x) can be reduced, removing the factors that caused the discontinuities, the graph will contain only
A
holes
5
Q
if the factors that caused the discontinuities cannot be removed,
A
asymptotes will occur
6
Q
asymptotes can be described using
A
limit notation
7
Q
limx→∞ f(x)=0 means f(x) gets closer to 0 as
A
x gets large/ small
8
Q
limx→2+ = ∞ means f(x) gets arbitrarily large as x approaches
A
2 from the right
