Ch 3

Question 1

den < num

Answer 1

No HA, lim f(x) as x-> +/- infinity is DNE

Question 2

den = num

Answer 2

HA lead coefficient of num/lead coefficient of den.
lim f(x) as x-> +/- infinity is lead coefficient of num/lead coefficient of den

Question 3

den > num

Answer 3

HA is y=0, lim f(x) as x-> +/- infinity is 0

Question 4

Slant asymptote when

Answer 4

num degree is greater than denom degree by exactly 1. Divide numerator by denominator and get rid of remainder

Question 5

Check for x-axis symmetry by

Answer 5

Replacing y with -y

Question 6

Check for y-axis symmetry by

Answer 6

Replacing x with -x