SOLUTION: how can i get the symmetry for x^3+2x^2-x-2/x^2+x-6? and is a proper or improper function? Please help me out i am running very short on time, this is going to be do tomorrow :-s

Algebra ->  Rational-functions -> SOLUTION: how can i get the symmetry for x^3+2x^2-x-2/x^2+x-6? and is a proper or improper function? Please help me out i am running very short on time, this is going to be do tomorrow :-s      Log On


   

Question 278477: how can i get the symmetry for x^3+2x^2-x-2/x^2+x-6?
and is a proper or improper function?
Please help me out i am running very short on time, this is going to be do tomorrow :-s if any one can help me please. thank you:)
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+%28x%5E3%2B2x%5E2-x-2%29%2F%28x%5E2%2Bx-6%29

For symmetry, find f(-x), This means: replace the x with (-x):
f%28-x%29+=+%28%28-x%29%5E3%2B2%28-x%29%5E2-%28-x%29-2%29%2F%28%28-x%29%5E2%2B%28-x%29-6%29
Simplify f(-x).
If f(-x) = f(x), then the function is symmetric about the y axis.
If f(-x) = -f(x), then the function is symmetric about the origin.
If f(-x) is not equal to f(x) or f(-x), then there is no symmetry.

The degree (highest exponent) of the numerator is 3. The degree of the denominator is 2. When the degree of the numerator is greater than or equal to the degree of the denominator the fraction is improper.