Question 278477
{{{f(x) = (x^3+2x^2-x-2)/(x^2+x-6)}}}<br>
For symmetry, find f(-x), This means: replace the x with (-x):
{{{f(-x) = ((-x)^3+2(-x)^2-(-x)-2)/((-x)^2+(-x)-6)}}}
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.<br>
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.