math 2: rational functions

Question 1

rational function:

Answer 1

f(x) = p(x)/ q(x)

p(x) and q(x) are polynomial functions and q(x) ≠ 0

Question 2

as a general rule, graphs of rational functions are not

Answer 2

continuous

Question 3

a point of discontinutiy occurs at any value of

Answer 3

x where q(x) = 0

Question 4

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

Answer 4

holes

Question 5

if the factors that caused the discontinuities cannot be removed,

Answer 5

asymptotes will occur

Question 6

asymptotes can be described using

Answer 6

limit notation

Question 7

limx→∞ f(x)=0 means f(x) gets closer to 0 as

Answer 7

x gets large/ small

Question 8

limx→2+ = ∞ means f(x) gets arbitrarily large as x approaches

Answer 8

2 from the right