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

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


   

Question 1061306: Determine whether the rational function has symmetry sigh 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 KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
For symmetry with respect to the origin,
f(-x)=-f(x) should be true for all values of x.
For symmetry with respect to the y-axis,
f(-x)=f(x) should be true for all x.
Neither is true for x=3,
where f(3)=0 and f(-3)=%28-30%29%28-9%29%2F%289-54-19%29%3C%3E0 .
The answer is highlight%28neither%29 .