rational function, y - -4x^2 / x^2 - 4: find intercepts, etc

softball1145

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Jul 7, 2006
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given the rational function y=f(x)=-4x^2/x^2-4 find the following:

1. domain

2. vertical asymptotes

3. x-intercept/s

4. y-intercept

5. horizontal asymptote

6. graph your function (includes all intercepts and asymptotes)
 
What have you done towards the solution of these?
Can you give the basic definitions?
Please show us some effort!
 
Re: rational function, y - -4x^2 / x^2 - 4: find intercepts,

softball1145 said:
given the rational function y=f(x)=-4x^2/x^2-4
What you have posted means the following:

. . . . .\(\displaystyle \L \frac{-4x^2}{x^2}\,-\,4\)

Is this what you meant? Or did you mean something like "-4x<sup>2</sup>/(x<sup>2</sup> - 4), otherwise formatting as the following?

. . . . .\(\displaystyle \L -\,\frac{4x^2}{x^2\,-\,4}\)

How far have you gotten in completing the various parts of this exercise? For instance, finding intercepts is a simple matter of plugging "zero" in for one of the variables and solving for the other. Finding the domain (for rational functions) consists of finding any undefined spots (because the domain is everything else). So these parts are pretty much just plug-n-chug. Where are you stuck?

Please be specific. Thank you.

Eliz.
 
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