Posted by **Jen** on Sunday, February 4, 2007 at 12:34pm.

Is it possible to roughly sketch a graph(without plotting the points) from the asymptotes of a rational function? Is yes, what are the rules?

For example, if I have to sketch a graph of y = (2x^2+10x-12)/x^2+x-6), how do I do it?

I got the vertical asymptotes as x=-3 & x=2, and horizontal asymptote y=2.

How do I draw a graph of this function without plotting points?

Thanks

Factor the numerator and denominator.

find the roots of the numerator...that is where the graph will cross x axis.

Find the roots of the denomiantor, those are the points where y will be +- inf

sketch in the horizontal asy...

Now SKETCH in the missing areas.

## Answer this Question

## Related Questions

- calculus - Give a reasonable sketch, on the axes provided, of the graph of the ...
- Calculus - Sketch the graph of f(x)=-x^4 + 4x^3 - 16x + 16: Find the critical ...
- math - 1. Consider the function f(x) = x3 + 7x2 + 2x - 40 . a. Find the possible...
- College Algebra HELP - Use the seven step method described in the book to graph ...
- Algebra - Graph the rational function x/(x-6) To graph the function, draw the ...
- Seven step method - Use the seven step method described in the book to graph the...
- Gr.11 - Rational functions graphing. - 1. Identify a rational function whose ...
- Calculus - Sketch the graph of f(x)=(x^2 + 2)/x^2 - 4. Fund the vertical and ...
- trig - I need to state the period and 2 consecutive asymptotes on the graph for ...
- how to sketch a graph of.. - Local minimum and local maximum imply that the ...

More Related Questions