AP Precalc 1.7, 1.8, 1.9

what is the horizontal asymptote when the leading terms have the same degree

the leading coefficient

what is the horizontal asymptote when the leading term in the denominator dominates the numeration

y=0

what is the horizontal asymptote when the leading term in the numerator dominates the denominator

NONE

if the numerator has a degree that is exactly one more then the degree of the denominator, then f(x)

has a slant (oblique) asymptote

if the question asks you to find the end behavior as the imput values increase without bound, what does this mean

write your limit for as x—> positive infinity

to find the y-intercept of a rational function…

plug 0 in for x

what does “for what imput values of f are the output values of f equal to 0

what are the zeros

when solving for zeros you have to

watch out for holes but looking at both the numerator and the denominator

REMEMBER VERTICLE ASYMPTOTES (AKA what you are doing to find the domain) ARE NOT

ZEROS

a hole occurs ONLY when the factor in the BLANK fully cancels out with the factor in the BLANK

denominator/ numerator

there will be a verticle asymptote if the

denominator can NOT cancel out with the factors in the numerator

the rate of change is a decreasing rate when the graph is

CONCAVE DOWN

the rate of change is an increasing rate when the graph is

CONCAVE UP

the rate of change is increasing when the graph is

increasing