curve sketching ~ x^2 over x^2 + 3

[andrewb7]

I have a assignment for calculus tommorow.i have to analyze this equation and come up with the following things.

Doman
X intercepts
Y intercepts


Horizontal asymptotes
Vertical asymptotes
Critical numbers
First derivative
2nd derivative
Concavity
Point of inflection
Increase or decrease



I have no idea how to do this with a rational function.please do as many of the needed .u dont have to explain i can find out my self.this is for my grade 12 calc class. Thanks

[nona.m.nona]

I have no idea how to do this with a rational function.
please do as many of the needed .u dont have to explain

Ouch! They were supposed to have taught you this much of this stuff back in algebra!

As you read, we don't "do" students' work here (such as "doing as much as we can, but without bothering to explain what we're doing, so the student can hand it in as though he'd done the homework himself).

If you "have no idea how to do" something, the first step is to learn, so we provide links to lessons. Therefore:

Functions: Domain and Range

x- and y-Intercepts

Asymptotes

Graphing Rational Functions

Differentiation Formulas

Product and Quotient Rules

Critical Points

The Shape of a Graph: Part I

The Shape of a Graph: Part II

Higher Order Derivatives

Please give yourself at least a couple of weeks to study and learn this material. Then please attempt the exercise. If you get stuck, you can then reply with a clear listing of your steps and reasoning so far, at which point we can begin to work with you.

Thank you!