Question

How does the symmetry of f(x)=p(x)/q(x) depend on the symmetry of p(x) and q(x)? Select all true statements. There may be more than one correct answer.


A. If p(x) is odd and q(x) is even, then f(x) is even.
B. If p(x) is even and q(x) is odd, then f(x) is even.
C. If p(x) and q(x) are both odd, then f(x) is even.
D. If p(x) and q(x) are both even, then f(x) is even.
E. If p(x) is odd and q(x) is even, then f(x) is odd.
F. If p(x) or q(x) is neither even nor odd, then f(x) is neither even nor odd.
G. If p(x) and q(x) are both odd, then f(x) is odd.
H. If p(x) is even and q(x) is odd, then f(x) is odd

Answer 1

@RhondaSommer

Answer 2

@umerlodhi

Answer 3

@dan815