2x^2+1
--------
2x^2-3x
Show any asymptotes, relative extrema, inflection points, concavity, and where the function is increasing or decreasing.
I'm really having trouble with this , any help would be GREATLY appreciated.
Thanks guy/girls.
2x^2+1
--------
2x^2-3x
Show any asymptotes, relative extrema, inflection points, concavity, and where the function is increasing or decreasing.
I'm really having trouble with this , any help would be GREATLY appreciated.
Thanks guy/girls.
ooops. My bad. OK, yeah, so it doesn't factor. Using the quadratic formula should give the two answers that you've given before.
Yeah. You're on the right track. So, make a table that describes the sign of f prime at some test value on the intervals that you have already discovered a couple of posts ago before I went in left field with doing the wrong problem.
Okay I got this:
Than I plug it into the first derivative to see increasing or decreasing:
f1(x) f(x)
-infinity, -1.115 - dec
-1.115, 0.448 + inc
0.448, 0 + inc
0, 3/2 - dec
3/2, infinity - dec
Are those the right points I would use? So can you help me check this so far:
Increasing/decreasing: see above
Relative max: (0, f(0))
Relative min: (-1.115, f(-1.115))
Right or wrong?