SOLUTION: Determine whether the rational function has symmetry with respect to the origin, symmetry with respect to the y-axis, or neither f(x)(5x - 15)(x - 6)/x^2 + 18x - 19 a)symmetr

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Determine whether the rational function has symmetry with respect to the origin, symmetry with respect to the y-axis, or neither f(x)(5x - 15)(x - 6)/x^2 + 18x - 19 a)symmetr      Log On


   



Question 1035968: Determine whether the rational function has symmetry with respect to the origin, symmetry with respect to the y-axis, or neither
f(x)(5x - 15)(x - 6)/x^2 + 18x - 19
a)symmetry with respect to the y-axis
b)symmetry with respect to the origin
C) neither.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
symmetry with respect to the y-axis:
change the x to negative
(-5x-15)(-x-6)/x^2-18x-19
this is not the same function.
Has a vertical asymptote at x=1, zeroes at x=3 and x=6 which will not be the same when x is made negative.
C
graph%28300%2C200%2C-15%2C15%2C-15%2C15%2C%285x-15%29%28x-6%29%2F%28x%5E2%2B18x-19%29%29