Let be the continuous and differentiable function such that
MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions
Problem
Let f be the continuous and differentiable function such that f(x)=f(2−x), ∀x∈R and g(x)=f(1+x), then
(1) g(x) is an odd function
(2) g(x) is an even function
(3) f(x) is symmetric about x=1
(4) None of the above