Question

show analysis and graph 3x-6/x^3-1 show analysis and graph 3x-6/x^3-1 @Mathematics

Answer 1

What exactly does "show analysis" mean? Does it want you to find 1st, 2nd derivatives, inflection points, maxima minima, asymptotes, etc?

Answer 2

any asymptotes and stuff like as x tends to (vertical asymptote) F(x) tends to...

Answer 3

and any intercepts

Answer 4

What about end-behavior? (as x goes to + or - infinity?)

Answer 5

yeah that too

Answer 6

This is a PERFECT example of where geogebra would be useful. : )

Have you ever used geogebra?

Answer 7

no

Answer 8

i used wolfram

Answer 9

but i have to understand how to do it without wolfram

Answer 10

http://www.geogebra.org/cms/en/installers DOWNLOAD THIS NOW. :D Greatest graphing program out there.

Answer 11

ok so it looks like a good program, however, i must know any rules when doing these types of problems as i wont have the program on a test. i know how to do a problem like 3x-6/x^2-1 but this thing about the degrees being different by 2 is confusing me

Answer 12

Higher degree in the denominator = function goes to zero as x goes to + or - infinity.

Answer 13

Zero in the denominator = asymptote.

Answer 14

ok thank you