Question

Identify the asymptotes, removable discontinuities, and intercepts for the graph of this function.

Answer 1

\[f(x) = (2x^3 - 3x + 1)/(x^3 - 5x + 7)\]

Answer 2

Here's what I have so far:
The horizontal asymptote is 2.
One of the x-intercepts is (1, 0)
The vertical asympote may be at -2.75?

Help appreciated! Thanks.

Answer 3

There actually 3 x-intercepts. You will have to use the quadratic after factoring to this
\[(x-1)(2x^2+2x-1)\]
your horizontal and vertical asymptotes look good.

Answer 4

There are*

Answer 5

doesnt look like there are any removable discontinuities

Answer 6

The x-intercepts are (1, 0), (366, 0) and (-1.366, 0)?

Answer 7

What about the y-intercept?

Answer 8

you mean .366 right lol

Answer 9

Haha right

Answer 10

Also the y- intercepts is just setting x=0.

Answer 11

1/7?

Answer 12

which comes out to a nice fraction

Answer 13

yep

Answer 14

Cool! thanks

Answer 15

I think that's about it

Answer 16

alright glad to help out :)

Answer 17

No discontinuities? :O