anonymous
  • anonymous
f(x)=(x^2-3x-4)/(x-2) Find points of increase and decrease and all relative extrema.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
you don't really need any calculus for this one
anonymous
  • anonymous
Try factoring the numerator
anonymous
  • anonymous
it is a rational function with a slant asymptote at \(x-1\)

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
it is always increasing
anonymous
  • anonymous
you could take the derivative and get \[\frac{x^2-4x+10}{(x-2)^2}\] but the denominator is never negative, and neither is the numerator ( you can check that it has no zeros)
anonymous
  • anonymous
if you remember plotting rational functions in pre calc you may remember what something like this looks like
anonymous
  • anonymous
That's the derivative that I got also. I was trying to find the critical points from this...
anonymous
  • anonymous
So what would the critical points be?
anonymous
  • anonymous
Factorise the Numerator... Can you??? Then the critical points for an expression like this... \[(x-a)(x-b)/ (x-c) \] are a,b and c...
anonymous
  • anonymous
I can't factor \[x^2-4x-10\]
anonymous
  • anonymous
You are supposed to factor x^2 - 3x-4 ... I think your question says so...
anonymous
  • anonymous
Into... (x-2)(x-2)...?
anonymous
  • anonymous
x^2 - 3x - 4 =x^2 - 4x +x -4 = x(x-4) +1(x-4) = (x-4) (x+1)
anonymous
  • anonymous
And critical points are then x=4 and x=-1
anonymous
  • anonymous
I have to find the first derivative then factor

Looking for something else?

Not the answer you are looking for? Search for more explanations.