Question

State the horizontal asymptote of the rational function.

f(x) = quantity x plus nine divided by quantity x squared plus two x plus five

Answer 1

@Vocaloid

Answer 2

@Shadow

Answer 3

the denominator has a greater degree than the numerator. As x approaches -∞ or +∞, the magnitude of the denominator is much greater than that of the numerator. The function therefore approaches zero.

lim f(x) = 0
x→-∞

lim f(x) = 0
x→+∞

The graph of y = f(x) has this horizontal asymptote: y = 0

Answer 4

Awesome thanks dude!

Answer 5

i got one more could you help?

Answer 6

I'll try

Answer 7

I'll try

Answer 8

State the horizontal asymptote of the rational function. For full credit, explain the reasoning you used to find the horizontal asymptote.

f(x) = quantity x plus nine divided by quantity x squared plus four x plus two

Answer 9

i can do a new question if you want so i can give you best response again

Answer 10

A horizontal asymptote is a y-value on a graph which a function approaches but does not actually reach. Here is a simple graphical example where the graphed function approaches, but never quite reaches, y=0. In fact, no matter how far you zoom out on this graph, it still won't reach zero. However, I should point out that horizontal asymptotes may only appear in one direction, and may be crossed at small values of x. They will show up for large values and show the trend of a function as x goes towards positive or negative infinity.
I hope u pass ;)

Answer 11

so the asymptote for this is 0 as well?

Answer 12

I am pretty sure

Answer 13

ok awesome thanks man

Answer 14

I am a female

Answer 15

oh gosh sorry...you pic is darth vader so like yea lol

Answer 16

NOT THAT FEMALES CANT LIKE STAR WARS I THINK THATS DOPE

Answer 17

It ok I love star wars I am being Darth vador for holloween

Answer 18

im a huge star wars fan lol...so real quick can you tell me how you got y=0 i just need that to finish up the test