Let f(x)= [((3x^5) - 2x² + 3) / (2x² -5)]. Find a power function end behavior model forf.[/FONT]

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- January 15th 2009, 01:36 PMh4hv4hd4si4nPower FunctionLet f(x)= [((3x^5) - 2x² + 3) / (2x² -5)]. Find a power function end behavior model for
*f.*[/FONT] - January 15th 2009, 01:55 PMJester
- January 15th 2009, 02:01 PMh4hv4hd4si4n
Yes

- January 15th 2009, 02:11 PMJester
Do you know how to divide polynominals by long division?

- January 15th 2009, 02:18 PMh4hv4hd4si4n
yes, but i'm confused by what the question is asking for.

How do you find the power function and end behavior function? - January 15th 2009, 02:23 PMchabmgph
- January 15th 2009, 03:11 PMJester
If you perform long division you get

As then the last term drops and the end behaviour looks like the function

- January 15th 2009, 03:43 PMchabmgph

Your approach is right, however the problem calls for a power function.

Actually would be the answer. Another way to look at this is by looking at the leading terms of the polynomials on the numerator and denominator (they each describe the end behavior of the two polynomials), which in this case is and and by looking at its ratio, we get - January 15th 2009, 03:54 PMJester