Question

find the horizontal asymptote of the graph of y=(-2x^6+5x+8)/(x^2+5x+6)

Answer 1

may i ask what class you are in?

Answer 2

Algebra 2B

Answer 3

ok notice the exponent in numerator (6) is higher than denominator (2)
when this occurs there is no horizontal asymptote or it doesn't exist

Answer 4

Omg thank you I forgot about that rule.

Answer 5

can you help with another ?

Answer 6

if exponent in denominator is higher --> asymptote is y=0

if same --> asymptote is ratio of leading coefficients

Answer 7

sure but if you use those 3 rules you should be fine

Answer 8

Simplify the rational expression. State any restrictions on the variable.

(t^2+2t-24)/(t^2-36)

t-2/t-3, t doesn't = 3
t-4/t-6, t doesn't = 6
t-2/t-3, t doesn't = -6, t doesn't = 3, t doesn't = 6
t-4/t-6, t doesn't = -6, t doesn't = 6

I picked D

Answer 9

D is correct